Casey Kotchman and Jack Hannahan each added an RBI in the four-run initial frame, while Shin-Soo Choo went 2-for-3 with a run scored as the Tribe evened their three-game series.
Jeanmar Gomez (5-7) earned the win after allowing three runs on four hits in a 5 2/3-inning effort.
Vinnie Pestano recorded the final four outs for his first save.
Texas starter Scott Feldman (6-11) was tagged with the loss, yielding four runs on six hits over six frames.
LGBT community has 'bullied the American people': Bachmann
Ohio bar shooting arrested, charged with murder