Phone won't charge.. Possible damaged port?

Ok so my moto style refuses to charge with my stock turbo charger. The turbo charger charges my other devices just fine, but refuses to charge my moto x. I tried another wall adapter which also wouldn't work, yet my USB cable charges the phone just fine??.

I'm kinda confused and wondering if it's a problem with my charging port. Which kinda sucks cause now I gotta deal with motos tech support, but I was wondering if anyone had any similar issues

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