Cousins also grabbed 10 rebounds while Jason Thompson added 14 points, 11 boards and five steals as the Kings won for the only the second time in 11 games.
Sacramento breezed to the victory, jumping out to 22-8 lead to start the contest, and wasn't challenged the rest of the way.
The hapless Bobcats, meanwhile, added to a club-record losing streak with a 20th straight setback.
Kemba Walker, Byron Mullens and Derrick Brown each scored 13 points for Charlotte.
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