Check your clothes washer manual.
Are you using the appropriate amount of detergent for 1 - 2 grains of hardness? Try using 1 / 2 of the recommended dosage of detergent.
Are you properly rinsing out all the soap? Try doing an extra rinse cycle. Since most newer machines are more energy-efficient they use less water as well. Sometimes an excess of soap makes matters worse since some air-born bacteria love soap scum.