Carolina’s Tony DeAngelo celebrates his goal in front of Vincent Trocheck in the first period of Game 5  on Tuesday in Raleigh, N.C. Karl B DeBlaker/Associated Press

RALEIGH, N.C. — The Carolina Hurricanes swore they’d be fine after losing a two-game lead and momentum in their first-round playoff series. It was just a matter of cutting down on mistakes and staying out of the penalty box.

The Hurricanes did exactly that Tuesday night, and it has them within a win of advancing to the next round.

Rookie Seth Jarvis scored twice and Antti Raanta finished with 34 saves to help the Hurricanes beat the Boston Bruins 5-1 on Tuesday night for a 3-2 lead in the best-of-seven series.

With the Game 5 win, the Hurricanes have two chances to close out the Bruins. Game 6 is Thursday in Boston, and Game 7, if needed, on home ice Saturday.

The series has yet to see a team win on the road. It wasn’t close to happening in this one, either. Carolina shook off mistake-filled showings in Boston that sent a parade of Hurricanes to the penalty box and carried the action in a cleaner performance.

“We know how we’ve got to play,” said defenseman Tony DeAngelo, who had a first-period goal.

“Penalties got us out of our game last game. … When we’re on our game five-on-five, we’re very confident that we’re going to come out on top.”

To DeAngelo’s point, the Hurricanes have outscored the Bruins 12-6 during five-on-five play through five games. This time, they committed just three penalties on a night with far fewer scuffles and post-whistle antics by both teams.

Defensemen Jaccob Slavin added a first-period goal for Carolina, and Vincent Trocheck added an empty-netter. When it was over, Carolina had five goals for the third time in as many series games in front of their loud, rowdy crowd.

Raanta was sharp all night, highlighted by stopping a left-alone Brad Marchand at the top of the crease by getting his left wrist on the puck in the first period.

He carried a shutout until midway through the third.

“It’s all about just going out there and battling,” Raanta said, adding: “The whole team played great in front of me. They made my job a lot easier.”

Boston’s Connor Clifton scored on a rush to make it 4-1, and Jeremy Swayman finished with 33 saves. But after scoring twice on the power play in each of the past two games, Boston came up empty on its only three chances – and twice committed penalties to negate its man advantage.

Boston knocked Carolina out of the playoffs twice in the past three postseasons, first with a four-game sweep in the 2019 Eastern Conference finals and then a five-game, first-round series in the Toronto bubble a year later. Now, it’s the Bruins who are facing elimination.

“Obviously it’s a do-or-die situation,” Marchand said. “It’s not the one we want to be in. But all that matters is that we regroup and get prepared for the next one.

“We know they’re going to push. They’re a good team. You can see they’re very hungry right now.”

NOTES: Boston had a surprise addition with defenseman Charlie McAvoy.

McAvoy was a late scratch for Sunday’s Game 4 due to COVID-19 protocols and Coach Bruce Cassidy said earlier Tuesday he’d miss Game 5 as well. But McAvoy traveled from Boston in the afternoon and was spotted entering PNC Arena, then joined his team for warmups as the Bruins tweeted McAvoy had cleared the protocol.

McAvoy saw more than 25 minutes of ice time.

• Boston defenseman Hampus Lindholm missed his third straight game. He hasn’t played since being leveled on a jarring shoulder-to-chest hit from Carolina’s Andrei Svechnikov in the Game 2 loss. Cassidy said Lindholm didn’t travel to North Carolina for Game 5.