Maxwell was traded, with a draft pick, on September 6, 1985, to the Los Angeles Clippers for center Bill Walton. Maxwell spent a season and a half with the Clippers before being dealt to the Houston Rockets in January, 1987, for two draft picks. He finally retired from the NBA after the 1987-88 season, having scored 10,465 points and pulled down 5,261 rebounds over the course of 11 seasons, which averages over the course of his career to 12.5 points and 6.3 rebounds a game.