The win gave the Rangers (48-50) a sweep of the three-game series, while sending the Rays (51-48) to their fourth consecutive loss.
After falling behind 5-2, the Rangers got a solo home run from Joey Gallo off Jake Odorizzi in the fifth to cut the lead to 5-3. The Rays bullpen then got to work, posting three scoreless innings after Odorizzi departed with no outs in the fifth.
The Rangers got off to an early lead when Adrian Beltre tripled off Odorizzi to start the Rangers' second. Career hit No. 2,988 led to the first run of the game when Mike Napoli delivered a sacrifice fly.