I just kinda wanted to show what you can do for 800 dollars:
PCPartPicker part list / Price breakdown by merchant
CPU: AMD Ryzen 5 1600 3.2GHz 6-Core Processor ($218.88 @ NCIX US)
Motherboard: Gigabyte GA-AB350M-Gaming 3 Micro ATX AM4 Motherboard ($94.79 @ OutletPC)
Memory: ADATA XPG Z1 16GB (2 x 8GB) DDR4-2400 Memory ($86.48 @ NCIX US)
Storage: Seagate FireCuda 2TB 3.5" 7200RPM Hybrid Internal Hard Drive ($94.99 @ Amazon)
Video Card: Gigabyte Radeon RX 480 4GB G1 Gaming Video Card ($179.99 @ Newegg)
Case: Fractal Design Define Mini C with Window MicroATX Mid Tower Case ($79.99 @ NCIX US)
Power Supply: EVGA BQ 600W 80+ Bronze Certified Semi-Modular ATX Power Supply ($49.99 @ Amazon)
Total: $805.11
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-04-12 00:41 EDT-0400
You could do this even cheaper but i picked a nice case and a motherboard/psu that supported crossfire if you wanted to upgrade down the road. What a great time to build a pc : )