When Delino DeShields swung and missed at strike three, Welington Castillo stood up, pumped his right arm a couple times and headed out to the mound as the Chicago White Sox poured onto the field.

It was a rare Windy City party for the South Siders.

Castillo hit a tiebreaking two-run single in Chicago's four-run eighth, helping the White Sox beat the Texas Rangers 4-2 on Thursday night in the opener of a four-game series between two of the worst teams in the AL.

"They put a really good fight together today," manager Rick Renteria said.

Chicago improved the majors' worst record to 11-29 in the worst 40-game start in franchise history. It was the first home win for the White Sox since May 3 and just the fourth in 19 games at Guaranteed Rate Field this season.

"We haven't been playing good baseball, so we got to pick it up," said James Shields, who pitched three-hit ball into the eighth inning. "We still got a long season to go."

Texas (17-28) wasted a terrific start by Doug Fister, who stepped in for Cole Hamels and pitched seven sparkling innings. Shin-Soo Choo had two hits, drove in a run and scored.

Hamels was scratched after he woke up Wednesday with a stiff neck, prompting Banister to move Fister up a day to pitch on regular rest. The veteran right-hander showed no signs of any trouble with the change, surrendering six hits.

"It's a constant battle. I'm still trying to fine-tune certain things," Fister said. "Tonight we were able to throw a curveball and a changeup really well in certain counts and certain locations, and I think that made a huge difference."

Yoan Moncada sparked the winning rally with a ground-rule double after Jose Leclerc (1-1) retired the first two batters of the inning. Moncada advanced on a passed ball and scored when Leclerc committed a throwing error on Yolmer Sanchez's tapper back to the mound.

The White Sox then used three consecutive walks to tie it at 2 before Rangers manager Jeff Banister pulled Leclerc in favor of Kevin Jepsen. One of the walks was intentional, but there were some close calls along the way and Banister was thrown out by plate umpire Paul Nauert after he made the pitching change.

"I'm gonna fight for my guy," Banister said. "I'm gonna fight for what I thought was right. I still feel the same way."

Castillo greeted Jepsen with a single that dropped in front of a diving DeShields in center, driving in Jose Abreu and Nicky Delmonico.

Moncada finished with three hits for Chicago, which had lost nine of 10.

Luis Avilan (1-0) got two outs for the win and Nate Jones worked the ninth for his second save. The Rangers put runners on second and third with one out, but Ronald Guzman grounded out and DeShields struck out to end the game.

Shields set season highs with eight strikeouts and 7 1/3 innings for Chicago, but remains winless in nine appearances since he beat Kansas City on opening day on March 29. The right-hander allowed one run and walked three.

"Just tried to keep the team in the game as long as I possibly could," Shields said.