Well I'll try to put it into simple, and hopefully correct, terminology:
Say you're trying to pull or push an object and you're floating in a vacuum (suspending the whole biological impossibility of it). You have nothing to resist against, so you can't move the object without moving yourself as well, correct?
Same thing applies to this magnetic force. It has to push one object away from another. In the case of a railgun, it is pushing the bullet away from the magnet. As the magnet pushes on the bullet, the bullet pushes back on the magnet. This pushes the whole gun into you. The only reason the bullet goes forward and the gun doesn't go backward (not too far at least) is that you're there to resist the push of the bullet.
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