If you can stretch your budget a little further (And cover the before-rebate costs), this would out-perform the FX significantly, though I have to admit at a bit of a premium. However, in the future you'd have the option to purchase an after-market cooler and over-clock it to get more performance out of it, and it'd be pretty well future-proofed in the CPU department.
http://pcpartpicker.com/p/jgw7GX
Alternatively, if that's a little too far over budget, you could get the 4430 instead, and upgrade the CPU in the future when Intel releases Broadwell, if you so choose.
http://pcpartpicker.com/p/DV66pg
But as I assume this is mostly going to be for playing games (And not recording/streaming) them, you could get away with using a 2 core I3, which will still maintain superb single-threaded performance for the price (Meaning it will play the vast majority of games just as well as any I5/I7), though will begin to suffer if you start throwing too many taxing programs at it at once or attempt to record using a CPU heavy codec while playing. (If you're just looking to play CS:GO at 300 FPS, get this, If you're planning to start doing video editting/3D rendering etc, avoid it.) Again, if you get this now, it can always be upgraded to something more powerful in the future if your needs expand, and on the plus side, you'd be able to get another dirt-cheap rig to throw it into for guest/server use if you replace it with something better.
http://pcpartpicker.com/p/PBbwyc