Mitch Moreland hit a solo homer and had three hits along with Bogaerts for the Red Sox, who posted their 19th victory in April. They had reached 18 three times, the last coming in their World Series-winning 2013 season.

Whit Merrifield had three hits and two RBIs for the Royals, who were coming off their first consecutive wins this season.

Hector Velazquez (4-0), the first of three relievers, worked two scoreless innings of relief for the victory.

Trailing 3-0, Boston scored a run in the second on Moreland’s homer and five off Jason Hammel (0-3) in a third inning highlighted by Bogaerts’ slam that completely left Fenway Park. Moreland drew a bases-loaded walk for the other run.

It was Boston’s sixth slam of the season, tying the 1996 Montreal Expos for most ever in the majors by May 1.

Boston fell in the 3-0 hole in the first when starter Eduardo Rodriguez gave up three runs on three walks, two singles and a hit batsman.

TRAINER’S ROOM

Royals: SS Alcides Escobar was back in the lineup after leaving Sunday’s game with a bruised left hand from being hit by a pitch. . DH Mike Moustakas was hit by a pitch and came out with a bruised left forearm.

Red Sox: Manager Alex Cora decided to give OF Mookie Betts a second straight day off because of a tight right hamstring that forced him out Saturday. “I feel like not starting today is going to benefit him, but if we need it late in the game, we’ll use him,” Cora said.

PRESS BOX CONFUSION

The Royals made a late lineup change, which caused confusion in the press box when everyone thought the club had moved its DH to third base after Moustakas had to leave in the first.

It would have forced pitcher Hammel to hit.

The problem was: The Royals had given a new lineup to the umpires from the one posted in the press box and on Fenway’s scoreboards that had Moustakas at third base and Cheslor Cuthbert as the DH.

Cuthbert came in at third base at the bottom of the first.

GONE EARLY

Both starting pitchers were out by the fifth inning.

Rodriguez gave up five runs, walked three, hit two batters and struck out six in four.

Hammel was tagged for eight runs on eight hits in 4 2/3.

SPECIAL GUESTS

The Royals’ traveling party had 28 extra guests because they were invited to bring their dads or brothers on the trip.

“I really, really enjoy it — a chance to come to Fenway. They went on a tour here, a private tour. I think they all enjoyed that,” manager Ned Yost said. “It’s just a phenomenal trip together being able to share three days like this.”

UP NEXT

Royals: RHP Jakob Junis (3-2, 3.34 ERA) hopes to rebound Tuesday from a miserable previous start when gave up a club-record tying five homers against the White Sox.

Red Sox: LHP Chris Sale (2-1, 2.31) looks to continue his strong run, having allowed three or fewer runs — one or less four times — in his initial six starts.