The Orioles had the tying run at third base and the lead run at second base with one out in the ninth. But Royals closer Kelvin Herrera struck out Seth Smith and got Jonathan Schoop to fly out, ending the game.
Moustakas' home run came during a five-run fourth inning, tying the score at 5. Soler's home run traveled an estimated 464 feet, according to Statcast™, the longest by a Royal this season.
Chris Davis hit a solo homer for the Orioles, and hot-hitting Caleb Joseph hit a two-run home run in the fourth inning.