Yes it will, even though I have a fx6100 hexa-core that cpu will be able to do gaming and running apps on the side line.
Like most here have mentioned, most games are gpu dependent, if you told cod modern warfare 3 to use the cpu core for gaming..
Give it about 10-30 minutes and watch either amd or intel start stuttering or locking up trying to handle that.
If your budget is around 1000 - 2000k I could build you a intel skylake build.
Your only problem will be what do you want to use that computer for besides gaming.
If you do 3d work, programming, media work or anything else app intensive.
Your best bet is the higher end amd fx series, otherwise a core i5 quadcore would be a good starter.
http://www.newegg.com/Product/Product.aspx?Item=N82E16819117302
If you do your homework on amazon and any other shops, you could find that chip lightly used for under 150 bucks.
Let me know what you want to do.