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The wheels are 17 x 7, with a +40MM offset.

Now will these wheels fit my car without rubbing?

But the bigger question is, how far will these wheels stick out from the body? Or will they stick out at all?

Because I read that deep dish wheels are usually negatively offset, yet these are positive, maybe because the wheel is curved? Any help will be greatly appreciated thanks!

BTW anyone have any pics of how deep dish wheels would look on our 7thgen Civics? Thanks!

 
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Those aren't really "deep dish" the spokes are just folded in. And +40 is right where you want it. They're going to fit fine, read the FAQ for commonly accepted specs.

 
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Hard to believe that your getting that kind of lip on a 17 with a 40 offset. Gotta be the way the spokes are curved. Ayway a 40 offset will fit just fine. I have the same size wheel & offset running 215/45/17. With that size the tires are almost flush with the fender edge. If you are dropped may need to run something smaller (205s maybe), roll the fender, or run negative camber.

 
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What kind of wheels are those? they look nice

 
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i was looking into a +40mm offset running 205/40/17. u think that will fit without rubbing or having to run too much negative camber?