Big Bang predicts Hubble's Law exactly , provided that the speeds are small compared to the speed of light. More distant the object, the greater the stretch. This is the origin of the Cosmological Redshift. This distinguishes it from a normal Doppler Reshift due to objects moving through space. More distant objects seen in the past.
All galaxies attract each other via gravity .
Gravitational attraction slows the expansion. Keeps expanding forever. The Universe is expanding now. Galaxies were closer together in space. You leave Columbus by car for Florida, but leave your watch behind.