A downhole equalization assembly permits selective and remote opening of at least one downhole port or pathway to allow communication of pressure and/or fluid flow from inside a pressure containing system (such as, for example, a tubular pipe or other pressure containment system) to the outside of the containment system, or vice versa. A control device generating a magnetic field is inserted into a well and conveyed to a downhole equalization assembly. When the control device passes through an equalization assembly, an electrical current is generated that triggers an electronic counter. When a predetermined counter number is reached, a sliding sleeve is shifted, thereby exposing ports and/or pathways extending between the inside and outside of the equalization assembly. No physical contact or mechanical interference is required between the control device and any other components in order to actuate the equalization assembly.