iPhone earpod jack fix

I dropped my iPhone with the EarPods connected and when I unplugged the audio jack I noticed it was slightly bent. I now have to wiggle it a bit to get sound from the right side. I've got my old EarPods lying around that have a good jack but no sound on the left side due to a little water damage. I was wondering if I can replace the jack by soldering the wires from my old EarPods? Will this work? I don't want to buy a new audio jack and solder that on (seems like a pain in the ass)