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A rocket in its simplest form is a chamber enclosing a gas under pressure. A small opening at one end of the chamber allows the gas to escape, and in doing so provides a thrust that propels the rocket in the opposite direction. A good example of this is a balloon. Air inside a balloon is compressed by the balloon's rubber walls. The air pushes back so that the inward and outward pressing forces are balanced. When the nozzle is released, air escapes through it and the balloon is propelled in the opposite direction.
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A rocket ship is able to move because of the because of the burning of the rocket fuel which propels the rocket ship forward even though forces are equal and opposite .

According to Newton's third law; action and reaction are equal and opposite.

For a rocket ship, the gases burnt in its combustion chambers, the gases produced are pushed downwards while the thrust causes the rocket ship to move forward.

Hence, the rocket ship is able to move forward due to the combustion of gases.

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