The layout of Victory Road is different between Pokémon Black 2 and White 2. This page gives a walkthrough of Victory Road in White 2.
Go north, then west. You will encounter Ace Trainer Jamie, who has a level 55 Drifblim and level 55 Claydol.
From there, go west and push the Strength boulder north, then west into the hole. Go northwest and you will encounter Psychic Al, who has a level 54 Metang and a level 54 Cofagrigus.
Then go north and up the stairs.
Outside, you encounter Ace Trainer Shelly, who has a level 55 Swoobat and level 55 Lilligant.
Go north, then west. Ace Trainer Beckett is there. He has a level 55 Whimsicott and level 55 Unfezant.
Go all the way west, then south, and use Cut on the tree. Go south to find a Full Restore. Then go to the northeast corner of the forest to find an Ultra Ball. From there, go southwest, then go west and north into the exit.
Go north to battle Veteran Cathy, who has a level 55 Sigilyph and a level 55 Crobat.
To the north, there is Doctor Logan. He has a level 54 Clefable. After you defeat him, the doctor will heal your pokémon whenever you talk to him.
Before you go into the cave, go east to find a Max Repel. Then go west and north into the cave.
To the north, there is Veteran Abraham. He has a level 55 Gigalith and level 55 Skarmory.
To the east, there is a hidden Full Restore.
Farther east, there are two Ace Trainers across from each other. If you walk between them, you can do a Double Battle with them. If you approach them from the left, you can fight each trainer one at a time. The trainers are Ace Trainer Webster, who has a level 55 Durant and level 55 Ferrothorn, and Ace Trainer Shanta, who has a level 55 Heatmor and level 55 Galvantula.
Go east from the two Ace Trainers.
If you want to go to the Pokémon League now instead of exploring the mountains and caves, go north and push the Strength boulder north, then go west, battle the trainer, and keep going west until you reach an exit. After you go through that exit, keep going north as far as you can, battling trainers on the way, then go east and battle the trainer, then go north and battle the trainer near the cave door. Afterward, go through that cave door. Save and heal up, because when you walk to the left, Hugh will challenge you. After that, go west and follow the path to reach the Pokémon League.
Otherwise, after the two Ace Trainers, go south and out of the cave.
Mountain Base, part 2
To the south, you find Backpacker Mae, who has a level 54 Sawsbuck.
If you have Surf, you can go east and get the Escape Rope there.
From here, you can use Waterfall to go down the waterfall, then Surf east to a cave opening in the south wall.
Ruins, part 2
Surf as far south as you can go, then go west and south, and get out of the water. To the east, you can have a Double Battle with Veteran Claude and Veteran Cecile. Claude has a level 55 Braviary and level 55 Carracosta, and Cecile has a level 55 Mandibuzz and a level 55 Archeops.
Go east from them, then south, then west. You find TM93 Wild Charge.
If you go east, you have to jump down a ledge. It will take you back to the entrance of the cave. You should only do that if you want to use the Victory Road Pokémon Center. If you do that, then when you're ready, go back to the area of the cave with the two Ace Trainers that are facing each other, and skip the next paragraph.
If you don't want to jump down the ledge, then get back into the water and Surf north, then use Waterfall to go back to the ledge where you fought the backpacker. Enter the cave.
Go all the way east, then go north into the narrow path to find a hidden Max Revive. Then go south and exit the cave.
Mountain Base, part 3
Go southeast past the grass to find a Max Repel. Then go south and down the stairs. Get the Ultra Ball there, then continue east. Battle Ace Trainer Pierce, who has a level 55 Swanna and level 55 Ampharos.
Surf northeast from there to reach a new area. Go north, east, and south through the grass. There is a Full Restore here, as well as Ace Trainer Chandra, who has a level 55 Darmanitan and level 55 Tangrowth.
Go south to enter the ruins again
Ruins, part 3
Go southeast to find Psychic Alia, who has a level 54 Lampent and level 54 Musharna.
Go east and use Strength to push the boulder up, up, up, right, down, right, down, right, down, down, down, left, down, and down.
Go southwest to battle Ace Trainer Billy, who has a level 55 Golurk and level 55 Sigilyph.
From here, if you want to go back to the Victory Road Pokémon Center, go west and jump down the ledge, then go southeast to the exit. Otherwise, go back the way you came until you are in the cave, near the two Ace Trainers who are facing each other.
Go north and push the boulder north. If you are ready to go to the Pokémon League instead of exploring the rest of the cave, then go west, battle the trainer, and keep going west until you reach an exit. After you go through that exit, keep going north as far as you can, battling trainers on the way, then go east and battle the trainer, then go north and battle the trainer near the cave door. Afterward, go through that cave door. Save and heal up, because when you walk to the left, Hugh will challenge you. After that, go west and follow the path to reach the Pokémon League.
Otherwise, go north and into the cave.
It is very dark in here, you will need to have a pokémon use Flash in order to see where you are going. Fortunately, there are no trainers in this dark area.
Go west, then north past the steps. Go east to find a PP Max. Then go south and look for the stairs to the east. Go up, and there is a Red Shard near the top of the stairs. Continue going east and down some stairs. To the south of the water, there is a Rare Candy. To the north, there is a Max Elixir.
Go north, then west, and then go north again when you can. Follow the path around to an exit. Go through.
Mountains, part 3
If you are ready to go to the Pokémon League, you can just go north until you reach the cave that leads there, battling two trainers on the way. Be sure to save when you enter the cave, because Hugh will challenge you when you walk to the left.
Otherwise, if you want to explore more, then go north and east to find a Dragon Fang, then go southeast from there, down some stairs. Then go northeast to find another cave entrance.
Caves, part 4
Go west, then all the way south to reach Veteran Hugo, who has a level 54 Fraxure, level 54 Flygon, and level 54 Zweilous.
Go west from him, then south to find a Dragon Scale. Your path will be blocked if you jump down the ledge to the left and go south, so just go back the way you came until you are outside again.
Mountains, part 4
Go northwest. You will see two trainers to the north, but don't go that way yet unless you are ready to go to the Pokémon League. Instead, go east until you find some stairs to the south.
Down below, you find Ace Trainer Caroll, who has a level 55 Fraxure and level 55 Vanilluxe.
Go south down two sets of stairs, then go west and north to find a hidden Normal Gem.
Go southwest until you reach Black Belt Martell, who has a level 54 Pinsir and level 54 Heracross. Go west from him to find a Max Elixir.
Then follow the path south until you reach a cave entrance.
Caves, part 5
Go west to battle Pokémon Ranger Eddie. He has a level 54 Electabuzz and level 54 Probopass. Then go west and push the boulder to the left.
Keep going west and you will encounter Pokémon Ranger Elle. She has a level 54 Magmar and level 54 Camerupt. Afterward, go outside.
Mountains, part 5
Go west and then north to encounter Ace Trainer Elmer, who has a level 55 Zweilous and level 55 Eelektross.
Go east and north. There is a Max Revive to the west.
Go northeast to find a hidden Rare Candy. Then go south, west, and north. Battle Girl Chalina is to the right. She has a level 54 Throh and level 54 Sawk.
Finally, go north, then east. You will see Veteran Portia to the right. She has a level 54 Zebstrika, level 54 Sawk, and level 54 Starmie.
Go north from her to battle Veteran Sterling. He has a level 54 Beartic, a level 54 Golurk, and a level 54 Throh.
Go north from him and go into the cave. Save and heal up, then go to the left. Hugh challenges you.
Hugh has a level 55 Unfezant and level 55 Bouffalant. In addition, if you chose Snivy, he has a level 55 Simipour and level 57 Emboar; if you chose Tepig, he has a level 55 Simisage and a level 57 Samurott; and if you chose Oshawott, he has a level 55 Simisear and a level 57 Serperior.
Go to the Pokémon League
After the battle, go west and through the cave door, then go west and north to reach the Pokémon League.