You don't have to do that. Just use following simple steps (assuming that the hotel rooms are all along one infinitely long corridor):

1. Have all guests of the hotel simultaneously pack their things and move out of their room onto the hallway.

2. Have all guests simultaneously move along the hallway to be standing in front of the room next door (in the same direction, obviously).

3. Have all guests simultaneously move into the room they are now standing in front of.

The first room is now empty, with nobody having had to leave the hotel, and every guest still has his/her own room.