I'm trying to adjust a small door and needed to make adjustments. Does it matter if I shim the hinge connected to the door or the hinge connected to the frame? Are the two essentially equivalent when making such an adjustment?
This is entirely a matter of aesthetics. In one case the hinge pin (the center of pivot) moves, and in the other it doesn't, but the move is small enough that it's unlikely to cause binding. Just keep that point in mind.
Otherwise, do what will result in the shim being least conspicuous. This isn't the ideal way to rectify door alignment, but it is often the quickest and easiest. If you have the option and the will, pull casing from the hinge jamb and do your shimming there, where it's hidden.