Holland (5-1) struck out five in his first shutout since 2009 and Texas recorded its seventh win in eight games.
Josh Hamilton and Nelson Cruz each hit two-run homers, with both going long on consecutive nights for the Rangers, who have won 15 of the past 18 meetings against the Indians and 10 of 11 at Progressive Field.
Cleveland has lost a season-worst five straight at home.
Both homers came off Fausto Carmona (3-7), who hasn’t won in a month and is 0-4 in his past six starts.
In Anaheim, C.C. Sabathia came within one out of his second complete game in three starts, pitching New York to victory over Los Angeles.
Sabathia (7-3) allowed two runs and one walk while striking out three. He has won his past four starts, tying his longest career winning streak.
Alex Rodriguez hit a two-run homer and Robinson Cano also went deep for New York. The two RBIs increased A-Rod’s total to 1,864, tying Mel Ott for ninth place on the all-time list. Derek Jeter was 1 for 3 with a walk, tying Sam Rice for 28th on the career hit list.
Mariano Rivera recorded his 15th save in 18 chances. It was Rivera’s 1,003rd career appearance, overtaking former Yankees Hall of Fame closer Goose Gossage for 14th place all-time.
Angels starter Ervin Santana (3-5) allowed three runs in seven innings.
In Seattle, Jeremy Hellickson pitched neatly into the eighth inning to lead Tampa Bay to victory over Seattle.
Hellickson (7-3) allowed one run over 7 1-3 innings, improving to 6-1 with a 1.74 ERA in his past seven starts.
He continued on with the form that saw him recognized as AL pitcher of the month for May.
Joel Peralta replaced Hellickson in the eighth and yielded a two-run homer, cutting Tampa Bay’s lead to 3-2. But Peralta induced a fly out to end the inning and Kyle Farnsworth finished for his 11th save in 12 chances.
Tampa Bay scored three times in the second inning against Doug Fister (3-6).
In Boston, J.D. Drew singled in Carl Crawford with two outs in the 14th inning, giving Boston a tight win over Oakland.
Crawford had four hits and drove in three runs and Adrian Gonzalez had a solo homer and three hits for the Red Sox.
Boston closer Jonathan Papelbon gave up a four-run lead in the ninth to blow his save and Oakland went ahead in the top of the 11th but Andrew Bailey couldn’t hold it and the Athletics lost their fifth straight.
Alfredo Aceves (3-1) pitched four innings for the win.
Guillermo Moscoso (2-1) got the loss.
Red Sox catcher Catcher Jason Varitek and Papelbon were ejected in the ninth.
In Chicago, Miguel Cabrera hit a tiebreaking two-run homer with two out in the ninth inning, lifting Detroit over Chicago.
Austin Jackson opened the ninth with a triple against Jesse Crain (2-2), who nearly wriggled out of the jam.
After a pop up and a strikeout, Cabrera hit a pitch over the right-field fence to put the Tigers ahead 4-2.
Jose Valverde retired the White Sox in the bottom half of the ninth for his 15th save in 15 chances. After a lead-off walk, Valverde set down the next three batters to end the game.
Jackson had three hits and scored twice for the Tigers, while Justin Verlander (6-3) allowed two runs in eight innings to improve to 7-0 with a 2.06 ERA in his past seven starts against Chicago, who lost their first game in five.
In Baltimore, Mark Reynolds hit a grand slam to power Baltimore past Toronto.
With the Orioles trailing 3-1 in the sixth, Reynolds hit the first pitch from Ricky Romero (5-5) into the left-center stands for his eighth homer of the season and the first slam of his career in 2,166 at-bats.
Baltimore starter Jake Arrieta (7-3) allowed five hits in six innings, retiring his last seven batters. Kevin Gregg allowed two hits in the ninth, but retired the final two batters for his 10th save in 13 chances.
In Kansas City, Alexi Casilla matched a career best with four hits and drove in two runs, helping Minnesota beat Kansas City and record a third straight win, equaling a season high.
Casilla stroked RBI singles in the third and seventh innings.
Twins starter Nick Blackburn (5-4) allowed two runs but departed after five innings and 80 pitches with back tightness.
Kansas City starter Luke Hochevar (3-6) gave up six runs in six-plus innings. The Royals dropped to a season-low eight games below .500.
