When the Mover pushes the box two equal forces results explain why the Box move is even though the forces are equal and opposite?

Although the forces on the box are equal in magnitude and opposite in direction, the box still moves because there is an unbalanced force acting on it - the force of friction with the ground. This frictional force opposes the direction of the box's motion, causing it to accelerate in the direction of the net force applied by the mover.