FX-6300 is far better for gaming. Minimum for not bottlenecking any major GPU is the A8-7600, so with a 5500 you'd be leaving a lot of FPS on the floor.
(as mentioned above, IF you're getting a discrete GPU...)
I built my boyfriend a modest gaming PC last year for Christmas. I got him the FX-6300 and so far its really shined. Not incredibly technically oriented here but that's my two cents