if the moon attracts the earth, why does the earth not move towards the moon?

The Earth does move towards the Moon, but the acceleration of the Earth towards the Moon is extremely small because the Earth's mass is much larger than the Moon's mass. According to Newton's law of universal gravitation, both Earth and Moon attract each other with equal force, but acceleration produced is given by the formula a=Fma=\frac{F}{m}a=mF​, where FFF is the force and mmm is the mass of the object. Since the Earth has a much larger mass than the Moon, the acceleration (and thus the movement) of Earth towards the Moon is negligible, making it seem like the Earth does not move towards the Moon. In contrast, the Moon, having less mass, accelerates more visibly towards the Earth.