before replacing the tire, try letting some air out, then sponge some soapy water between the tire and rim (inner side walls) to lubricate the bead. When re-inflating, the tire should pop into place and you might hear a couple of "ping" sounds. This is the easiest way to consistently and evenly seat a tire.

This assumes that the tire is not actually damaged... which it could be. hard to tell with no pictures.