Trailing 3-0 entering the frame, the Rangers scored five times to grab control of the game and hung on for the win, evening their best-of-five American League Division Series with the Rays.
Texas also scored on a hit-by-pitch and a wild pitch in the uprising, during which they sent 10 men to the plate.
Mitch Moreland drove in two runs, including a solo homer, and Ian Kinsler added a two-run double for Texas.
Tampa Bay's James Shields (0-1) was tagged for seven runs on eight hits over five frames.
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