Teixeira broke a tie with Eddie Murray and Chili Davis, who each homered 11 times from both sides in the same game.
Hughes (2-3), who spent nearly two months on the disabled list this season, allowed only three hits against the punchless White Sox, who played their second straight game without leading hitter Paul Konerko, sidelined by a bruised calf. Hughes improved to 2-1 with a sparkling 0.75 ERA in eight career appearances against the Chicago.
Hughes' strong outing could force the Yankees to make a tough decision. New York is using a six-man rotation this week but probably will need to decide between Hughes and Ivan Nova for the fifth spot at some point. Nova gets the start on Thursday.
Chicago has lost four straight and fell 5 1-2 games behind Detroit in the AL Central. The game was delayed twice -- by the threat of bad weather for 45 minutes at the start and for 57 minutes just before the bottom of the seventh by a thunderstorm -- before it was called.
New York scored in each of the first two innings. Derek Jeter, who missed the opener of the four-game series with a bruised finger, began the game with a single and scored on Robinson Cano's two-out double to left-center. Russell Martin hit his 11th homer and first since June 29 in the second.
Danks (4-9), who also spent time on the disabled list with an oblique strain, was 4-0 in his previous six starts and hadn't lost since May 29. He gave up four runs and nine hits in six innings.