Tax-chick, I do laundry using less detergent - I use detergent without any fragrances (shudder) - and add a small scoop of borax, and then add about 1/4 or 1/3 cup white vinegar to the rinse, especially for things like towels.
Also for all kitchen towels and dish cloths - I don’t use sponges - and washcloths (you wouldn’t believe how many of those I go through) I soak in hot water and Sun cleaner - the cheapie generic Oxyclean, in very hot water, until it’s cooled to lukewarm, about 4 hours.
I don’t know if I’d use TSP because we have a well and septic and some things get in the ground water.
Hanging clothes up makes them smell nice, too.
But best of all IS hanging them on the line..they smell so good and clean. Plus energy conserving at its finest.