Tampa Bay manager Joe Maddon saw some positive signs even in a loss from Matt Moore.
Cody Ross homered and drove in four runs, Felix Doubront won his third consecutive start and the Boston Red Sox beat Moore and the Rays 5-3 on Thursday night.
Moore (1-4) gave up three runs and five hits in six innings for Tampa Bay, which had its four-game winning streak snapped. The left-hander, who retired his last 10 batters, had allowed 12 runs over nine innings in his previous two starts.
"I thought he finished really strong," Maddon said. "That's definitely a game to build off. He definitely pitched well enough to win. Confidence is a big thing. I know he's going to sleep better. Despite the loss, he's going to feel better about himself. That's just a right step in the right direction."
Moore threw 68 pitches through three, but needed just 38 more the rest of the way. He finished with eight strikeouts and one walk.
"Obviously, from a team standpoint, this isn't a victory," Moore said. "But for myself, I was somewhat satisfied with the fourth, fifth and sixth innings."
Ross extended Boston's lead to 5-2 on a two-run single off reliever Wade Davis with two outs in the eighth.
Doubront (4-1) allowed two runs and six hits over 5 2-3 innings. The left-hander was hit on the ear by a ball during batting practice Tuesday and cleared one day later to make his scheduled start.
Alfredo Aceves, the fifth Boston reliever, got four outs for his eighth save. He allowed B.J Upton's RBI single with two outs in the eighth.
After falling behind in the count 0-2, Ross worked a bases-loaded walk off Moore to put the Red Sox up 1-0 in the first. Moore avoided further damage by striking out Daniel Nava to end the inning.
Boston went ahead 2-0 on Marlon Byrd's second-inning homer. Ross made it 3-0 with his seventh homer, on an 0-2 pitch with two outs in the third.
Jeff Keppinger got the Rays within 3-1 on an RBI single in the third. Upton reached base with two outs when Kelly Shoppach was charged with catcher's interference and went to second when Luke Scott was hit by a pitch.
Rich Thompson, who has played in 1,388 minor league games, cut the Tampa Bay deficit to 3-2 with his first big league hit, a run-scoring single in the fourth. Thompson, acquired in a trade with Philadelphia on Wednesday, also stole second and third after his hit.
"It was great," Thompson said. "You never know how long it's going to be, or if it will ever come."
The Rays loaded the bases later in the fourth with two outs, but Scott hit a hard liner that was caught by first baseman Adrian Gonzalez.
Tampa Bay second baseman Will Rhymes was not in the lineup a night after being hit by a pitch in the right arm, fainting after walking to first base and having to be driven off the field on a cart. Maddon said Rhymes, who is day to day with a bruised right forearm, was feeling better and wanted to take batting practice but the team trainer wouldn't allow it.
NOTES: Tampa Bay senior adviser Don Zimmer returned to Tropicana Field for a game for the first time since the opening weekend of the season against the New York Yankees. The 81-year-old ex-Red Sox and Cubs manager has been undergoing dialysis for kidney problems. ... Red Sox SS Mike Aviles was ejected in the seventh by plate umpire Dan Bellino for arguing after striking out. ... Boston manager Bobby Valentine said DH David Ortiz will play first base and Gonzalez will move to right field for at least one game of this weekend's interleague series at Philadelphia. ... Tampa Bay 3B Evan Longoria (partial tear left hamstring) took grounders and continues taking batting practice.