You need to do some reading on basic cosmology. We see galaxies moving away uniformly in all directions. A fundamental assumption of cosmology is that the universe is homogeneous and isotropic. This means we do not occupy a privileged position, that any observer anywhere in the universe will see all other galaxies moving away uniformly in all directions. This can't be explained by a static universe in which the expansion is due to the velocities of the galaxies, because then the expansion has a center and all observers don't see the same thing. The observations are explained by what is called the
Friedmann–Lemaître–Robertson–Walker metric, which is what results when we apply Einstein's equations of General Relativity to the entire universe. A key part of it is there is a scale factor a(t), where all dimensions in the universe are expanding as time goes on. This is what we mean when we say "the universe is expanding." It is not a mathematical artifact, it is a fundamental fact about our universe, and it is backed up by a huge number of observations.