Jim Adduci had three hits, Alex Rios was 2-for-3 with a home run and J.P. Arencibia hit a grand slam for the Rangers. Brad Snyder added a three-run home run in the bottom of the eighth.
Paul Konerko had two hits, including a three-run double for the White Sox. Jordan Danks, brother of the starting pitcher, Adrian Nieto and Marcus Semien also had two hits each.
Darvish threw 84 pitches over 4 2/3 innings, allowing two runs on four hits, three walks and three strikeouts. He spent the afternoon trying to work on his cut fastball and sinker. When it was over, Darvish went down to the bullpen for more work before calling it a day.
"I wanted to make sure my delivery was OK," Darvish said. "Since I threw so many cutters during the game, I felt off with my delivery."
Darvish threw just 63 pitches over five innings in his previous outing against the Reds.
"I was working on my cutter and (sinker)," Darvish said. "Because I threw so many cutters, I wasn't able to throw many strikes."
Danks had pitched eight scoreless innings in his two previous two starts before giving up two runs in the first inning. But he allowed just one run through the next four. He finished with 74 pitches over five innings, allowing seven hits and three walks while striking out three.
"I feel good," Danks said. "Really I think the main thing now is fastball command. There was a couple of pitches today that missed location and I didn't help myself. I'm feeling good about everything. Arm still feels great and I feel like I'm in good shape, stronger and I'm excited about having a full healthy year."
Up next: Matt Harrison will make his first start of the Cactus League against the Royals at 8:05 p.m. CT in Surprise. Harrison, in the final stages of recovering from his back injury, is scheduled to pitch two innings. He will be followed by Joe Saunders. Tommy Hanson is scheduled to pitch five innings in a Minor League game.
T.R. Sullivan is a reporter for MLB.com. Read his blog, Postcards from Elysian Fields, and follow him on Twitter @Sullivan_Ranger. This story was not subject to the approval of Major League Baseball or its clubs.