With Alexi Ogando (3-1) on the mound, Marco Scutaro led off the 11th with a walk. Darnell McDonald then laid down a bunt that Ogando fielded, but his rushed throw to second went off of Scutaro and into the outfield, putting runners at second and third. After an intentional walk to David Ortiz, Darren O'Day took the mound, and Youkilis lofted a fly ball to center that allowed Scutaro to score with ease for the win.
Youkilis went 2-for-4 and tied the game in the ninth with an RBI double, while Ortiz drove in the other run for the Red Sox, who had dropped three of four.
"You don't have to hit home runs to win ballgames," Youkilis said. "That shows tonight. That's one of the things I said in the dugout in extra innings. We don't need a home run."
John Lackey went seven innings in the start and was charged with two runs on seven hits with a pair of walks and three strikeouts. Manny Delcarmen (3-2) got the win for throwing a flawless 11th inning.
Josh Hamilton and Nelson Cruz each had two hits and an RBI for the Rangers, who have lost five of seven. Cliff Lee made his second start in a Texas uniform and again went nine innings as he was charged with two runs on six hits with a walk and six strikeouts.
"Still kind of frustrated with giving up that run in the ninth when we've got a one-run lead there," Lee said. "But other than that I'm pretty pleased with how it went."
Boston got on board in the first as McDonald hit a one-out double and came home when Ortiz followed with a single for a 1-0 lead.
Texas went ahead in the sixth inning. With two outs, Ian Kinsler kept the frame alive with a single and Vladimir Guerrero followed with a walk. Hamilton and Cruz then hit consecutive RBI singles for a 2-1 lead.
Lee set Boston down in order in the sixth, seventh and eighth innings, but the Red Sox rallied in the ninth inning to tie the game.
Scutaro led off with a single, moved to second on McDonald's sac bunt, went to third on Ortiz's groundout and then came home when Youkilis drilled a double to left.
Each team has won three times in the season series...C.J. Wilson takes the mound for Texas on Sunday and will be opposed by Jon Lester...Jonathan Papelbon tossed two perfect innings of relief for Boston.