AshbyJack :
SO will run most games well with the AMD R9 270X?
From my experience, yes. I don't know why the other two gentlemen suggested a GPU upgrade. The R9 series is far from being anything close to outdated. Being the line-up (depending on the edition) is no more than a year old at best. I have a R9 270 DD Edition and it runs Skyrim at max settings, well over 80fps on my extremely outdated Athlon processor. With resolution mods. Yep, I said it, and I have screen caps for proof on my steam account. If you wiki the R9 series, you will see in the description that your particular card is considered a high-end GPU for this particular family of Radeon cards. I'm only telling you, so you avoid spending money you don't need to when you already have a banging graphics card.
This FX-6300 is in my cross-hairs for my PC this week, with a new ASUS motherboard, (I blame Battlefront) and I can tell you from personal experience, that if I can play two to three year old titles on this PC on maximum settings, with a dinosaur of a dual-core overclocked to 3.0ghz, then the FX coupled with your R9 270x will perform just fine my friend.
Godspeed! ~ Fayenwolf