Frank Francisco pitched a 1-2-3 ninth to give Texas a half-game lead over Boston. Less than 48 hours earlier, the closer was booed off the mound after giving up six runs in Boston's 8-4 victory Friday night.
The Red Sox were not discouraged despite losing a series to their closest playoff competitor.
"Who says we can't reel off 25 wins in September?" catcher Victor Martinez said. "If you feel like you're defeated by losing a series, that's not the right attitude to have."