If you want to move your television to the other side of the room or to a different room altogether, you can either run an ugly black coaxial cable across the floor and try to hide it or you could just move the cable jack itself. To move a cable jack you could either call and wait for a professional to come out to do this for you and pay for it, or do it yourself.
Remove the the two screws on the cable jack and pull the plate from the wall. There will be two brackets attached to the wall that the cable jack is attached to. Remove the brackets also by removing the screws holding them to the wall. Keep the cable jack, brackets and screws so you can use them later.
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Unscrew the end of the coaxial cable from the back of the cable jack.
Straighten out a wired coat hanger and wrap one end around the end of the coaxial cable in the wall. Wrap the coat hanger with electrical tape to make sure the wire doesn't slip off the end of the cable.
Feed the coat hanger and the coaxial cable back into the hole and push the wire in the direction of the new cable jack location.
Cut a hole in the wall where you want the new cable jack 1 1/2 inches wide and 3 3/4 inches wide with your wallboard saw.
Push the coaxial cable with the coat hanger through the inside of the wall from the old cable jack hole to the new cable jack hole. When you can see the end of the coat hanger at the new hole grab the end of the coat hanger and pull the coaxial cable the rest of the way until the cable is coming out of the new hole.
Screw the end of the coaxial cable onto the back of the cable jack. You can use the old cable jack.
Attach the two brackets for the cable jack, one for the top of the new hole and one for the bottom of the hole, by inserting the screws on the bracket directly into the wall. Make sure the brackets are attached to the wall so they match up with the screw holes on the cable jack. The easiest way to do this is by attaching the top bracket and holding the cable jack against the wall, lining up the top screw hole with the bracket. Slide the lower bracket behind the cable jack and mark the place on the wall where the bracket will line up with the bottom screw hole.
Screw the cable jack to the brackets.