Draw the outline for the outlet box on the wall with a pencil. Draw the box away from wall studs. Cut out the hole for the outlet box with a drywall saw.
Disconnect the power from the room from the circuit breaker. Unscrew the electrical outlet box from the wall and disconnect the wires. Use a screwdriver and pry bar to remove the outlet box from inside the wall.
Move the wires from the original outlet box to the new outlet hole. Hang the wires outside the box so that they do not fall behind the wall.
Feed the wires through the outlet box. Screw the box inside the new hole with drywall screws.
Connect the electrical outlet to the wires coming out of the outlet box. Connect the white ground wire to the grounding section on the outlet and the black wire to the other wire in the electrical outlet. Use plastic wire covers to connect the wires.
Screw the outlet cover over the electrical box. Turn the electricity on back inside the room. Test the electrical current inside the new box with a volt meter. If the plug does not work, disconnect the electricity and reconnect the wires.