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x-\frac{2}{3}x=5
Subtract \frac{2}{3}x from both sides.
\frac{1}{3}x=5
Combine x and -\frac{2}{3}x to get \frac{1}{3}x.
x=5\times 3
Multiply both sides by 3, the reciprocal of \frac{1}{3}.
x=15
Multiply 5 and 3 to get 15.