I had that problem when a PILE of crud .. and I mean a PILE ... traveled through all the lines to each appliance. I ended up disconnecting both washing machine lines and letting them run full tilt into a 5 gallon bucket. Haven't had a problem since. No idea where all of that came from - was chunks of rusty metal & brown, heavy sediment. It somehow got into the lines & started plugging up everything. When I was done, the bottom of that 5 gallon bucket was packed solid, 5" deep. I couldn't believe the amount of crap that came out of there.
I had a shady crew here that year installing a well pump, so that may have been another part of their sabotage to get more money out of us. They tampered with my pressure settings and let all the air out of the bladder on the tank too, so wouldn't surprise me ..