Danny Valencia's two-run homer capped a four-run first against Darvish (6-5), and the Mariners beat the right-hander for the first time in eight tries on the road. Seager had RBI doubles in the first, third and eighth innings for Seattle, which won at Texas for the first time in its last nine tries.
"Fortunately they didn't catch them today," Seager said. "I thought I had swung all right the previous two days. Today, fortunately I hit it where they weren't."
With Seager pacing the offense, Bergman (4-4) permitted four hits and two runs in 5 2/3 innings after giving up nine runs in 2 2/3 innings in his last start in Minnesota.
"We needed someone to go out and give us innings, keep us in the ballgame," Seattle managerScott Servaissaid. "He did a really good job mixing his pitches, threw more curveballs and some off-speed stuff to help him out, and it was huge."
The Rangers pulled within 5-3 against the bullpen in the seventh -- an inning that featured a hit batter, three walks, a balk and a wild pitch -- butNick VincentgotNomar Mazarato fly out with the bases loaded to end the threat.
"Somebody needed to step up and he did," Servais said of Vincent.
The Mariners tacked on two runs in the eighth againstDario Alvarez.
Rangers manager Jeff Banister was ejected in the second inning by crew chief Joe West after Seattle'sTyler Smithwas awarded first base on a hit-by-pitch on a play that was originally ruled a foul ball.
Darvish was coming off his best outing of the season -- one hit and one run allowed in seven innings against Houston on Monday night -- and he was one out away from getting out of the first unscathed. Seager's double scored one run, a second came in on a passed ball and Valencia blasted a 3-1 pitch into the Mariners bullpen in left-center.
"I put myself in situations where the hitter is going to get the pitch that they look for deep in the count," Darvish said through a translator. "I think that caused me trouble."
Darvish pitched five innings and gave up five runs, the most he's allowed in a start since Sept. 17.
Carlos Gomezhit a two-run homer off Bergman in the second inning and finished the series with eight RBI after returning from the disabled list Friday.
Banister's day ended in the top half of the second inning. Home plate umpire Hunter Wendelstedt had initially said Darvish's pitch hit Smith's bat, but he changed the call after Smith's pleading. Banister confronted Wendelstedt and was in the process of walking back to the dugout when West approached, sparking a more animated conversation and the ejection.
"From our vantage point it was a foul ball and that seemed to be the call on the field," Banister said. "And then all of a sudden it turned into a batter taking first base. My question was: Where did it change?"
Seattle recalled RHP Max Povse from Double-A Arkansas, optioned RHPRob Whalento Arkansas and designated LHPDillon Overtonfor assignment. Seattle has used 29 pitchers already this season, the most in the majors.
The Mariners also announced the signing of 26 draft picks, including first-round selection Evan White, a first baseman from the University of Kentucky.
Mariners: RHPFelix Hernandez(right shoulder inflammation) will return to the Mariners rotation on Friday against Houston. Hernandez allowed four singles and struck out eight in six shutout innings in his second rehab start with Triple-A Tacoma on Saturday. RHPHisashi Iwakuma(right shoulder inflammation) is also expected to return to the rotation during the weekend series.
Rangers: LHPCole Hamels(right oblique strain) threw a bullpen session Sunday and is scheduled to make a rehab start at Double-A Frisco on Wednesday. ... OFPeter O'Brienwas claimed off waivers by theLos Angeles Dodgers.
Mariners: Seattle returns home to face Detroit in a four-game series, with RHPSam Gaviglio(3-1, 3.41) making his first career start Monday against the Tigers. Gaviglio is 3-0 in his last four starts.
Rangers: Texas renews its rivalry with Toronto, hosting a four-game series.Austin Bibens-Dirkx(2-0, 3.28) makes his third career start and his second career appearance against the Blue Jays. He gave up three runs in a four-inning relief appearance on May 26.