It seems fine. A big part for saving money can be getting a CPU that runs double-duty as a GPU, as long as you aren't planning on playing Battlefield on High setting. Both AMD and Intel have these; just make sure whatever motherboard you get supports all the parts you're buying for it. Research is key. If you don't just rush in and buy a bunch of pieces somebody told you to get, you can instead take your time learning what is compatible (and why), and you might find something twice as good as you planned on getting for only a few dollars more (just because the new version came out does not mean the old version got a price drop).
You don't want your rig to go out of date in only a year because you just bought what was cheapest. Find out what technologies are coming out soon and ensure your parts can run it (like, the next DirectX).
For every piece you look at, read lots of reviews. I suggest reading them on Newegg or Amazon. Doesn't matter if one person told you it's the greatest part ever, it might have a common issue or compatibility problem with another part you're getting, and there are usually negative reviews that point it out and sometimes tell you how to avoid/solve it.