Texas tagged Tony Sipp for three runs (two earned), beginning with back-to-back doubles from Mitch Moreland and Luis Martinez to start the inning. Sipp was charged with two errors in an inning that also included a double to straightaway center field from Josh Hamilton.
Rangers southpaw Derek Holland scattered three hits and one run over three innings while striking out four.
"My main job was just go out there and throw strikes, go out there and give my team a chance to win," Holland said. "Each time I go out, I'm continuing to work on all kinds of different things. I'm continuing to work on many different pitches, just trying to get myself better and ready for the season."
Cleveland starter Kevin Slowey, who is one of four pitchers competing for the fifth spot in Cleveland's rotation this spring, allowed two runs on five hits in three innings.
"Today was certainly closer mechanically to where I want to be," Slowey said. "I was getting more ground balls than fly balls. Obviously, some of those found holes through the infield, and some were hit better than others certainly. But there were times I didn't put myself in a great position count-wise, and the guy was able to take a bigger hack than he would've otherwise. But still, overall, mechanically it's getting there."
The Rangers broke the scoreless tie in the bottom of the second, when Michael Young doubled to lead off the inning and came around to score on a single up the middle from Moreland. But Cleveland responded in the next half-inning with a double from Aaron Cunningham, a single from Andy LaRoche and a sacrifice fly from Michael Brantley to knot the game at 1.
Texas went up, 2-1, the following inning, when Yangervis Solarte -- a late addition to the lineup when Ian Kinsler was scratched with tightness in his lower back -- singled and came around to score on an RBI single from Adrian Beltre.
Texas tacked on another run in the fifth with a bases-loaded fielder's choice.
Rangers up next: Texas heads out for the first of its back-to-back away games on Monday, when it travels to Peoria Sports Complex for a matinee game against the Mariners at 3:05 p.m. CT. Southpaw Matt Harrison will make his second Cactus League start, with Mark Hamburger, Yoshinori Tateyama, Mark Lowe and Joe Nathan also scheduled to throw.
Indians up next: Right-hander Ubaldo Jimenez, who projects to begin this year as Cleveland's No. 2 starter, will take the ball for his third start of the spring when the Indians host the D-backs in a 4:05 p.m. ET tilt on Monday at Goodyear Ballpark. Bullpen hopefuls Dan Wheeler, Jeremy Accardo and Nick Hagadone are also slated to make appearances. The game will be broadcast on SportsTime Ohio and can be heard on Indians.com.