It is a lot easier to brush a cat than to give one a bath, believe me! My DH and I once gave a cat a bath and wound up soaked head to toe, with water all over the floor. The bath was so not happening, as far as the cat was concerned. We would have been scratched too, but for wearing seriously heavy gloves.
Before you brush the cat I suggest you wait for a time when the cat is relaxed and sleepy. Take the brush out and show the cat the brush, let the cat investigate it. Then slowly, brush once or twice. Put the brush away, and let the cat settle down. Wait until the cat is relaxed again, repeat. It may take a while (a few days) for the cat to get accustomed to being brushed, but it can be done. Do not try to brush the cat's belly or near their bottom--the cats I have brushed seem to find it overly invasive.