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\frac{5}{3}x-2x=-7
Subtract 2x from both sides.
-\frac{1}{3}x=-7
Combine \frac{5}{3}x and -2x to get -\frac{1}{3}x.
x=-7\left(-3\right)
Multiply both sides by -3, the reciprocal of -\frac{1}{3}.
x=21
Multiply -7 and -3 to get 21.