Luther Burrell, Anthony Watson, Ben Youngs, Jack Clifford and Marland Yarde crossed the whitewash for England, who would have won more comfortably but for a wayward kicking display from George Ford who missed six of seven shots at the sticks.
Rob Evans scored Wales' try as the visitors stormed into a 10-0 lead early on.
England now head to Australia for a three-match tour while Wales will be in New Zealand.