Trumbo and Goldschmidt had three hits apiece, and Blake Lalli singled in the winning run in the ninth. Lalli is trying to make the team as a backup catcher.
Texas center fielder Delino DeShields had two hits, including a solo homer, and two RBIs, bolstering his case for a spot on the Rangers' opening-day roster. DeShields is 7 for 17 in his last four games.
Nick Martinez, who was recently selected for the fifth spot in Texas' rotation, was charged with six earned runs in 4 1-3 innings.
Diamondbacks starter Chase Anderson labored through four innings, giving up six runs and 11 hits. Trevor Cahill then came in and struck out five in two scoreless innings.
The Diamondbacks and catcher Gerald Laird agreed to a $100,000 retention bonus that gives the club an out clause for his contract by June 1. Laird is in the mix for the backup catcher role.
The bonus gives Arizona more time to decide on Laird, a 12-year veteran, and allows the team to send him to Triple-A Reno for a while if he does not break camp with the Diamondbacks.
"Obviously they haven't seen enough," Laird said, "so they're going to take another couple of days."
The 31-year-old Johnson hit .194 in 19 spring games for the Rangers. He is a .215 career hitter in 318 games with Tampa Bay, Kansas City, Atlanta and Cleveland.
Wright, 40, appeared in nine games for Texas in spring training and had a 7.50 ERA over 12 innings. He was trying to make the club as a long reliever.
Diamondbacks: Anderson got the start over Cahill in a last-minute move. The two were named to the major league rotation this week.
Rangers: RHP Tanner Scheppers was in Texas on Tuesday for a scan on his sore right ankle. He reported soreness after his outing last Saturday. ... OF Shin-Soo Choo (left triceps inflammation) was scheduled to start in right field in the Rangers' other split-squad game. ... RHP Shawn Tolleson (right forearm stiffness) was scheduled to pitch in a minor league game Tuesday.
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