The A10-7850k, paired with DDR3-2133 RAM is a solid choice for a tight budget gaming PC.
It will outperform a similarly priced intel + gpu build.
(note: considering the A10-7870k is only $4 more expensive, it would be a better choice)
+++1 for that. A10-7850k is a good choice for budget gaming without a Discrete Graphic Card.