This would be a pretty weak gaming machine honestly. I will give you an example of how to make it much better.
Ok so I saved $70 on the cpu and added that $70 directly onto the video card = WAY better at gaming.
PCPartPicker part list:
http://pcpartpicker.com/p/nNnQf7
Price breakdown by merchant: http://pcpartpicker.com/p/nNnQf7/by_merchant/
Benchmarks: http://pcpartpicker.com/p/nNnQf7/benchmarks/
CPU: AMD FX-6300 3.5GHz 6-Core Processor ($117.97 @ OutletPC)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.98 @ OutletPC)
Motherboard: ASRock 970 Pro3 R2.0 ATX AM3+ Motherboard ($49.99 @ Newegg)
Memory: G.Skill Ripjaws X Series 4GB (2 x 2GB) DDR3-1600 Memory ($45.99 @ Newegg)
Storage: Seagate Momentus Thin 500GB 2.5" 5400RPM Internal Hard Drive ($47.90 @ Amazon)
Video Card: Club 3D Radeon R9 270X 2GB '14Series Video Card ($174.99 @ NCIX US)
Case: Cooler Master HAF 912 ATX Mid Tower Case ($44.99 @ Newegg)
Power Supply: EVGA 500W 80+ Bronze Certified ATX Power Supply ($34.99 @ NCIX US)
Optical Drive: Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer ($16.99 @ Newegg)
Sound Card: Asus Xonar DG 24-bit 96 KHz Sound Card ($19.99 @ Newegg)
Wireless Network Adapter: Rosewill RNX-N150UBE 802.11b/g/n USB 2.0 Wi-Fi Adapter ($13.99 @ Newegg)
Case Fan: Noctua NF-S12A ULN 120mm Fan ($15.22 @ NCIX US)
Total: $612.99
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-06-05 22:31 EDT-0400)