Betts hit a tying two-run homer with two outs in the ninth, and Pedroia later scored the go-ahead run on a wild pitch in Boston's four-run ninth inning as the Red Sox beat the Texas Rangers 8-7 on Friday night.
"We caught a break on the wild pitch," manager John Farrell said. "This is a huge boost when you consider the confidence you can generate and gain from a win like this."
Betts' 15th homer came off Bush (2-1), who had just taken over after pinch-hitter Sandy Leon hit an RBI double on the 11th pitch of his at-bat against Diekman. Pedroia then walked and went to third on Xander Bogaerts' single.
Betts' homer went out just over the 404-foot sign in center.
"That one was one of the ones I figured was going to go out. If it didn't, I would have probably cried," Betts said. "That's a huge win."
Rangers manager Jeff Banister said the inning had set up well for lefty Diekman, plus he wanted to give Dyson some extra rest. Dyson, with 13 consecutive saves since taking over as closer May 18, came in leading the majors with 39 appearances.
"We've got to monitor, make sure and take care of," Banister said. "We've got to have other guys out there to be able to pitch in those type of situations, other than Dyson."
Ian Desmond also had three hits for Texas, including an RBI single in the second after Bobby Wilson snapped an 0-for-15 slump with a double. An inning later, Wilson had a two-run single to chase Price with the Rangers up 6-0.
Price had gone at least eight innings in his previous three starts, and had a 2.47 ERA over his last eight starts for the Red Sox. The left-hander has given up more hits only once in his 234 career games, when the Kansas City Royals had 13 hits in 6 1/3 innings while he pitched for Detroit last season.
His ERA in seven regular season starts at Texas is now 7.68 -- by far his worst at any opposing stadium.
"I'm definitely comfortable here, I just haven't thrown the baseball (good)," Price said. "I've just got to come out and throw the baseball better against these guys."
NOT ROUTINE DOUBLE PLAYS
With the bases loaded in the first, Fielder hit a grounder to first baseman Ramirez, who threw home for the first out and then got back to the base to take the relay throw that completed the double play. Boston's Travis Shaw grounded into an inning-ending 3-6 double play in the fourth, when first baseman Jurickson Profar fielded the ball, touched first and threw to second base where Andrus had to tag the runner.
Red Sox: OF Chris Young was sore after being put on the 15-day disabled list with a right hamstring strain sustained Thursday, but manager John Farrell said Young's "range of motion is not too bad at this point." ... OF Brock Holt, who has missed 32 games since a concussion, could rejoin the team as early as next week if his rehab games with Triple-A Pawtucket go well this weekend.
Rangers: C Robinson Chirinos got an extra day off because of his sore right wrist, which is still bothering him after getting hit by a pitch. He played in both games against Cincinnati on Tuesday and Wednesday.
Red Sox: Right-hander Steven Wright (8-4), the AL leader with a 2.01 ERA, is 3-0 in four starts in June. The knuckleballer's only no-decision in that span was Monday, when he allowed one unearned run in nine innings before Boston lost 3-1 in 10 innings to the Chicago White Sox.
Rangers: A.J. Griffin was 3-0 with a 2.94 ERA his first six starts before going on the disabled list May 8 with right shoulder stiffness. The Rangers will activate him from the DL to face the Red Sox for the first time since 2013.
Nelson Cruz, Freddie Freeman winners at Players Choice Awards
Minnesota Twins designated hitter Nelson Cruz has been voted Marvin Miller Man of the Year and Atlanta Braves first baseman Freddie Freeman has been picked as Player of the Year in annual Players Choice award voting.
Washington Nationals re-signing Josh Harrison to one-year contract
Landing in Washington as the 2020 regular season began, utility player Josh Harrison did enough to re-sign with the Nationals on a one-year contract for $1 million.
World Series 2020: 'Travel day' roundtable -- everything we learned in Games 1 and 2
The series is staying in Arlington, but the Dodgers and Rays have 24 hours to catch their breath. We answer the biggest questions so far in this Fall Classic.
The 10 greatest performers in World Series history
With the Dodgers back in the World Series, we recall the most legendary Fall Classic figures -- including both a Hollywood hero and an L.A. nemesis.
World Series 2020: How Brandon Lowe got his swing straightened out at exactly the right time
Tampa Bay's best hitter has been a mess most of the postseason, but getting in touch with his personal hitting coach changed everything.
World Series 2020: Inside Los Angeles Dodgers' failures in Game 2's big at-bats
As great as the Dodgers are, they won't end their title drought if they come up empty in high-leverage moments the way they did in Wednesday's loss to the Rays.