An equalizer valve is configured to stay shut when pressure on one side or the other goes up. A dynamic seal and a metal to metal seal are located within the housing. Pressure from above is directed uphole of the metal to metal seal and downhole of the larger dynamic seal for a net closing force. Pressure from downhole is directed between the metal to metal and dynamic seals for a net force uphole to keep the metal seal closed. Normal operation is from a control line moving a rod piston to move a valve member to open the metal to metal seal for flow through the valve body.