How can I make model transit from one end of the screen to an other? Like on this picture:

I've asked for this before, but didn't get any good ideas... I don't want to create same model with same size and so on... I need one same model to move from one side of the screen to an other... There are allot of old games doing transits, but without copying models, panels etc. I think the same way can be created portals... You can see the same effect here, in game VVVVVV. Thank you.