Update debate on what CPU to get for gaming?

So I'm looking for a budget build. And most people from my previous post where talking about graphics and all that, now this may require more effort for you guys, but I mean it will help me out a lot.

So I was in my last post debating about Intel or AMD, as intel has faster cores, but is more expensive for more cores. AMD has slower cores, but more cores.

Now more cores is good for multi-tasking something I do quite often. As I do basic coding, use my Elgato, I record with fraps while playing basic games, like some Call of Duty's, Minecraft, and CSGO. And some Gary's Mod. But If I where to just play my games nothing else then I would want faster cores, but I do multi-task a lot so more cores seems more of a probable choice for me. The issue is finding the fastest processor for my budget with a good amount of cores maybe 4-8, but 6-8 would be better.

So, now that you know I'm looking for more cores, as I did a bit of research. Which is surprising for me as I tend to not like reading up on things, but i love gaming and want to build a good PC for it. So here's the budget, my graphics card is $130 ($100 sale right now, might not be able to get it so if you'll like you can find a processor for fitting my price range for if I get the card for $100, and one for $130 )
So that leaves me to a $220 budget for a CPU, MOBO, and a power supply.

(Power supply must be able to support everything, would prefer 500 watts)

Questions about my question? Leave them below and I'll answer!

The speed race is over… Unless a cpu is over 2 ghz difference cpu speed means very very little
2. MOST games are GPU intensive meaning you can get away with having a quad core amd cpu thats very slow as long as you have a powerful gpu
3. Your budget is VERY low… A decent psu (that will last more than a year and won't damage your motherboard) costs about $100 the motherboard is an additonal $100… Cpu is $150 ram is about $100 as well…

i would recommend the AMD fx8150 or fx8350 OR the 6 core versions

You have zip for a budget… You do not have for a budget what is needed to even come close to using the word " gaming "… You can only buy low end parts and get low end results…

Lol if your gonna record your gonna have to edit so get intel entry level amds suck