Originally Posted by xyzzy834
All brakes that I know of have some mechanism to center them.
I'm interpreting the problem to be a brake that doesn't have quite enough reach, even when adjusted all the way down in the adjustment slot.
The brake is very close to having enough reach, and in fact, for whatever reason, only one brake pad hits the tire, the other side barely clears. That's the way I'm reading it, anyway.
As for a solution, ideally, you need a longer reach brake. You might try "v-type" brake pads, which will have a very narrow profile and might not hit the tire (or then again, they might), or you might carefully file the adjustment slot just enough to allow the brake pad to be lowered a bit.