When I started, there were no tension meters, except in the high end shops, and mesh was stapled to wooden frames that deflected. Measuring one later on when we did finally have a meter, they wouldn't register at all. So, at 20, it's not so bad as some would have you think. We printed tens of thousands of shirts with those woefully inadequate screens, and the work looked good, halftones and all. I am not advocating low tension and stapled mesh, of course. As someone else mentioned, high tension will solve a lot of ills, but the other variables also still need to be looked after. It's good if all of your frames are close to or the same tension. If the tension is too low, then the print stroke stretches the image, and that can drag over the wet ink beneath it, causing the bleeding you're seeing possibly. You'll get it...
Steve