Rope being pulled on one side

Assume a rope on a smooth surface. If the rope is pulled from one side (force exerted on one side), where is the equal and opposite force? Why does the rope move? What I mean here is that there is no mass either side of the rope, it's just laying on the ground. I pick it up and then drag it. Shouldn't the force of tension balance out?

The equal and opposite force is due to the rope acceleration according to $F=ma$, where $F$ is the force, $m$ is the mass of the rope, and $a$ is the acceleration of the rope.