As awesome as the FX 8350 is for multi-tasking/encoding, it is a bad choice for a budget gaming build. It's not bad for gaming
, just not the most cost effective.
The 8-cores are designed for heavily threaded tasks really, and gaming does not fall under that category.
A lot of games will actually perform equally as good or slightly better when run on a current gen $40 Intel Celeron.
Depending on the games he wants to play, you might want to get an i5 or a dual core. (Celeron/Pentium/i3)
i5 > 8350/i3 for gaming.
The i5 will beat either in any situation, but will fall behind in encoding tasks. You only mentioned that your brother wants to game, so an i5 is what I'd choose for him if I were in your shoes.
The 8350 will outperform an i3 in games that make use of multiple cores, while the i3 can/will outperform the 8350 in games that are mostly single-threaded.
$40 Celeron: http://www.microcenter.com/product/428533/Celeron_G1820_27GHz_LGA_1150_Boxed_processor
Check the benchmarks.
Compare the SIngle Thread Ratings.
The Celeron just manages to beat the FX, BARELY, but when you look at the encoding-type performance (overall, multi-threaded) the price difference is more than justified and the 8350 becomes the better chip.
If you're running Starcraft II, the Celeron may outperform the 8350 or at least perform just as good.. for $40. That money could be better spent on a better GPU.