BOSTON — The Philadelphia 76ers are down but not out.

Led by 33 points from Joel Embiid, 25 points and 10 rebounds from Tyrese Maxey and a stellar fourth quarter on defense that saw the Boston Celtics miss their final 14 shots, Philadelphia emerged with a 113-97 victory Tuesday in Game 5 of this Eastern Conference first-round series.

As a result, the 76ers — down 3-2 in the series — will get another chance for a win at home in Game 6 Thursday night.

“Obviously you don’t want to go home, so you do whatever it takes,” said Embiid, who also had eight assists. “I thought defensively we did a much better job, especially not overhelping as we did last game. And yeah, then offensively it becomes a little easier when you’re making shots. We definitely made more shots than we did last game. So that’s a good combination when you want to win a basketball game.”

The Celtics were clinging to an 86-85 lead to start the fourth quarter and had 12 good minutes between them and winning at least one playoff series for the ninth time in the past 10 postseasons. But while 12 good minutes were played, it wasn’t by Boston.

Instead, it was the 76ers who outscored the Celtics 28-11 and held them to a dismal 3-for-22 shooting effort — including 1-for-14 from 2-point range. The 14 consecutive misses to close the game was the longest such streak in the playoffs since 2005, per the Elias Sports Bureau.

“First of all, give them credit,” said Jayson Tatum, who led the Celtics with 24 points and 16 rebounds in 40 minutes. “They played well. And yeah, a few looks that we felt good about that we just didn’t make.

“But sometimes that happens. You know, it’s just tough. Not scoring the way you want to puts a lot of pressure on your defense, and they made some plays at the other end.”

The fourth-quarter shooting woes capped off another dismal offensive performance at home for the Celtics — something that has become a storyline in their many deep playoff runs over the past several years. Since the start of the 2023 playoffs — coach Joe Mazzulla’s first with the team — Boston is 19-12 in home games and 17-7 on the road.

They also are 1-7 at home when shooting under 30% from 3-point range, which is what they’ve done in both of their losses in this series.

“I don’t know,” said Payton Pritchard, who had 12 points off the bench for Boston, when asked about the difference between the Celtics at home and on the road. “We’re going to have to figure that out. Can’t really put my finger on it, but honestly, it feels like we’ve been better on the road. We don’t want that to necessarily be the case. We want to be dominant at home and on the road. Definitely got to get that fixed.”

But simply pinning this game on Boston’s poor shooting would be a disservice to the effort from Philadelphia, which looked like a different team than the one from Sunday’s 32-point loss at home in Game 4.

That began with Embiid, who scored 18 of his points Tuesday in the second half on 7-for-10 shooting.

“He was dominant,” Maxey said.

And he did it by beginning to wreak havoc in the paint. Per GeniusIQ, Embiid’s average shot distance in the first half was 16.5 feet, before dropping to 9.3 feet in the second half — numbers that also reflected him not taking a 3-pointer in the second half.

It was the second-largest decrease in a game in his career when he took at least 10 shots in each half. And going up against a Celtics team lacking in size — in particular, no longer having longtime nemesis Al Horford to lean on him in the paint — Embiid had his way with Boston as the game wore on.

“I think you got to find the right mix,” Embiid said of his shot selection. “To start the game, it was a little bit more of outside than in. And then in the second half, it was both. But then again, inside, I feel pretty good about my chances of going one-on-one against anybody in this league, and I don’t think that I can be stopped. So I just took advantage of what they were giving me.”

76ers coach Nick Nurse cut his rotation to essentially six players, with Quentin Grimes giving Philadelphia an impressive 18 points in 24 minutes, as well as some excellent man-to-man defense. No other reserve played more than seven minutes. Embiid played just under 39 minutes, VJ Edgecombe just under 40, Maxey 42 and Paul George 43.

Time will tell if Philadelphia can withstand that sort of minutes load playing every other day at playoff intensity. But all that mattered Tuesday was that it was enough for the 76ers to give themselves another chance.

“It’ll take everything we’ve got,” Maxey said. “It’ll take even more of an effort than it did tonight.”