Pressing (I believe) shift-x will lock vertices and edges to another edge (so you can just drag it down the edge you want to have it aligned to and it will be perfect. Hell, you can even input x, y, z coordinates and it will align based off of those (if they work of course).

If you bought a legal copy of max it should come with a little hotkey booklet thing, although that may have just been a Max 8 thing.