Good question. You just rediscovered the "redshift." Objects at a distance are moving away from us, and the further away they are the faster away they are moving, everything near us moves away slower. It's like blowing up a balloon. If you put dots with a marker on the surface and then blow it up, the distance between the dots increases, even though the dots don't move. And the further away the dots are to start with, the faster they move apart.
Are the things in opposite directions from each other from our point of view at the same distance, moving away from us at the same speed? I heard somewhere, and I really don't recall the source, that red shift seems to indicate that we are in the center if it all. IOW, the red shift of all objects of an equal distance from the earth is the same. Is this correct? I hope you get what I'm asking. I'm not sure how to explain well what I mean.
Ah, but that is assuming the "redshift" is a product of the speed of separation and not some other phenomenon, such as mass changes during new matter creation.