How do countries get along if they practice détente?

Both countries stood to gain if trade could be increased and the danger of nuclear warfare reduced. In addition, Nixon–a candidate for reelection–was under fire at home from those demanding social change, racial equality, and an end to the Vietnam War. The trip to Russia, like his historic trip to China a few months earlier, permitted him to keep public attention focused on his foreign policy achievements rather than his domestic problems. Nixon’s trip to China had also heightened the Soviets’ interest in détente; given the growing antagonism between Russia and China, Brezhnev had no wish to see his most potent rivals close ranks against him.

Hope this Helps