Kinsler and Jones hit two-run homers in a span of four pitches in the third off Joe Saunders (5-2), who throughout his career has been great on the road -- everywhere except in Texas.
Josh Hamilton homered for the third time in four games since coming off the disabled list, a towering, two-run 460-foot drive into the second deck of seats in right field in the eighth that wound up the difference.
Los Angeles scored five times in the ninth, including a three-run homer by Kendry Morales. But C.J. Wilson, the third pitcher in the inning, earned his first save and finally ended the game when Howie Kendrick hit a grounder with two runners on base.
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Kevin Millwood (4-3) gave up two runs while scattering nine hits and walking two over six innings. It was the first time in his eight starts this season the right-hander didn't go at least seven innings.
The Rangers (21-14) moved to seven games over .500 for the first time since June 2005, two seasons before Ron Washington became their manager. Only twice before have they won more games through 35 games -- 1996 and 1998, their first two division-winning seasons.