Doubling the budget means 10K. How can you get a gaming Pc for that much?
by balanced I meant this :
1. Intel G530 Dual Core @ ~2.275k
Intel Celeron G530 Sandy Bridge 2.4GHz LGA 1155 65W Dual-Core Desktop Processor Intel HD Graphics BX80623G530
and before everyone shout at this it's actually better than some more pricey cpus:
Best Processors February - 2013
Intel Celeron G540 and Celeron G440 Processors Review. Page 6 - X-bit labs
2. Asrock H61 @ 2.675k
ASRock H61M-PS2 Micro-ATX LGA1155 Motherboard
3. Corsair 2 GB DDR3 ram @ 0.85k
now you are left with 4.2k with which you can get either a HD6570/HD6670 DDr3 gfx card.