If your sure its the left side locking up and you can feel or see that the caliper on that side isnt releasing the brake on that side it can be anything from a bad brake caliper... a collapsed brake rubber hose the one that connects to the caliper... or even a bad ABS brake pressure modulator valve. . I would start with the rubber hose.. what happens when its collapsed it acts like a check valve... the brake pedal pressure force is very high so the fluid goes thru and stays trapped in the caliper causing the brakes to stay applied on that side however when you release the brake there is no brake pressure force allowing the fluid to return and releasing the caliper