What can I do to fix a cable issue in my headphone? The right side doesn't work unless I move around the wire attached to the headphone.

This happens because on of the wires inside the cable that goes to the faulty earbud is broken so it makes contact just by accident. This is unfixable, you need new ones.

in most cases this is a broken wire issue and it can not be fixed unless you know where the trouble is exactly ..The fix will be to locate the break ..and tide it back ..but if it is a fine wire piece you will not be able to do much ..

take away the glued brandmark with a sharp tool (knife , little screwdriver) and you will find a screw. loosen it and open it. there you will see some cables witch probably have one loose. fix it by solding it.

First check the cable, by moving it up and down. Especially around the jack plug. Breaks in the cable or jack are very common. If in doubt cut the ******** and fit a new one. If the break is higher up, you might need to replace the whole cable. In which case you will have to take off both headphone cushions and undo screws in each side. Then solder the new wire on.

You will find that sound comes from the right side speaker only when it is bent at a certain point. By trial and error you can roughly locate the point. Then you can cut the wire at that point, cut 1 inch each from both ends, strip the cables, and connect the conductors. What has happened is, due to unusual bending, the conductors to the right-side speaker has damaged (broken). After roughly locating the place and removing 1 additional inch each, you will remove the wire section with the broken terminal. Now you can strip the wires and make the connections again. If you are not good at stripping and soldering wires, better to to take it to an electrician. (You need to take only the headphone pin and parts attached to it). This repair won't cost much. Good luck!

You will have to buy a replace ment jack and solder the connections. These cords seem to have different colors between manufacturers but start by soldering the green or blue (left) to the tip of the plug, the next ring to the red(right) wire and the base to the copper(ground) wire. Try to get a plug with a metal shield that unscrews and make sure you thread the cable through the shield right way around( threads towards plug before you solder.

 it sounds as if the wires are wired wrong . yes it is best to solder the wires.all jacks are the same,yours will be stereo i believe. is the braid attached to the earth point, the two other wires attach to the centre of the plug and the other terminal point. these are right and left. 

Yes they can be fixed. Hopefully the break is inside and not somewhere in the cord. Remove the foam pad being careful not to tear it. Look for small "phillips head" screws which holds the two halves together. Sometimes the halves snap together. Gentally pry apart. Simply resolder the wires, and put halves back together. You may have to "re-strip" the wires. If you do they are very small gauge wires and delicate. Use a small tip soldering iron.