Alcides Escobar hit a pair of homers off Jake Peavy, the second a go-ahead shot with two outs in the seventh inning, and the Kansas City Royals beat the Chicago White Sox 6-3 Saturday night.

The 25-year-old shortstop had just two homers all season and 11 in his career before he connected for a two-run shot off Chicago's All-Star right-hander in the third inning.

White Sox slugger Adam Dunn homered and Dayan Viciedo hit an RBI triple in the sixth to tie it at 3, but Escobar doubled up against Peavy (7-6) in the seventh inning. His solo shot to left gave him the first multihomer game of his career.

Jeff Francoeur and Lorenzo Cain added insurance runs in the eighth, and Greg Holland (3-2) won in relief.

Jonathan Broxton rebounded from a blown save the previous night to retire the White Sox in order for his 22nd save of the season.

Broxton pumped his fist after finishing the game — and all the Royals fans that were in the ballpark Friday night probably did the same. The night before, Broxton gave up a run in the ninth inning to turn a potential Royals victory into a 14-inning affair that took nearly 5½ hours to complete.

The White Sox eventually won the game on Kevin Youkilis' sacrifice fly.

The Royals and White Sox are no strangers to close affairs at Kauffman Stadium, though. They had gone to extra innings in seven of their previous 21 meetings.

The White Sox struck first for the second consecutive night when Gordon Beckham, who scored the winning run in the series opener, walked with one out in the third inning. Alejandra De Aza's double to left field gave Chicago a 1-0 lead.

Kansas City answered in the bottom half of the inning when Jarrod Dyson singled to right, stole second and scored on Alex Gordon's single. Escobar followed with his third home run of the year, this one landing in the bullpen in left field and giving Kansas City a 3-1 lead.

The White Sox clawed back, just as they repeatedly did the previous night, when it seemed as if the Royals had wrapped up a victory on several occasions.

Dunn's homer leading off the sixth traveled an estimated 451 feet, clearing two different walls in center field. Paul Konerko followed with a single, and after reliever Aaron Crow retired the next two batters, Viciedo came through with a tying RBI triple.

The White Sox couldn't get him home, though, and the missed opportunity proved costly.

Peavy wound up pitching into the eighth inning for Chicago, throwing 120 pitches along the way. He still ended up losing for the fifth time in six starts. Much of the onus for that falls on his offense, which has managed a total of nine runs of support over that span.

The White Sox have now lost 15 of their last 22 games at Kansas City.