You may be able to attach one, but
your motherboard is a poor quality one which really will not support a FX-8350.
http://www.tomshardware.com/forum/id-2384030/motherboard-tier-list-am3-chipsets.html
And... you will not be able to overclock to any degree.
FX cores are slow so since few games can make use of more than 2 or 3 threads, adding two more cores will not help.
If your needs are immediate, Intel is the way to go.
As little as a I3-7100 will give you a boost in most games.
Here is a review which included a I3-6320 and a FX-8370.
The I3-6320 is about the same as the i3-7100.
http://www.anandtech.com/show/10543/the-skylake-core-i3-51w-cpu-review-i3-6320-6300-6100-tested
The nice thing is that the lga1151 motherboard will support any upgrade all the way up to a I7-7700K.