If forces are equal, then how does anything go anywhere?

If you pushed someone, you would feel a equal but opposite force from that same point. So would the other person, he would feel that push. They would then both accelerate in opposite directions. Mass also plays a roll, if the person who pushed the other person had a mass of 55kg, and the other one had a mass of 70kg, the 55kg person would be accelerated further due to the rearranged Newton's Second law [Acceleration = Force/Mas] The 55kg would have a smaller Inertia.