Yes, charging it thru the wall would use the same adapter, of course. The cable has 4 wires, green, red, black and what appears to be a ground. You strip only the red and black and attach those to the terminals inside the phone, then put the battery back in on top of those. I guess there must be something about not having those other 2 wires that makes it not able to use the little transformer & wall plug.
Anyway, its a straight talk phone for my SO. They offered to give her a new galaxy precedent for free if she continues the $45/mo plan. So it got here this morning & I'm charging it now. Should have it activated and running by tonight. I'm wondering if she could use both phones but I think you can have only one activated phone on one account. She can still transfer all her data to the new phone though.