James, 32, took his career points tally to 28,020, good for eighth on the NBA’s all-time scoring list.
He reached the milestone with a step-back jumper that gave the Cavaliers a 45-31 lead with 6:49 left in the second quarter.
He also handed out 10 assists, and with two more will pass Lenny Wilkens (7,211) for 13th on the career list.
The NBA champion Cavaliers were without guard Kyrie Irving, who sat out with soreness in his right quadriceps. Deandre Liggins started in his place, scoring five points without an assist.
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