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\frac{1}{3}x-15=\frac{2}{3}
Divide both sides by 3.
\frac{1}{3}x=\frac{2}{3}+15
Add 15 to both sides.
\frac{1}{3}x=\frac{2}{3}+\frac{45}{3}
Convert 15 to fraction \frac{45}{3}.
\frac{1}{3}x=\frac{2+45}{3}
Since \frac{2}{3} and \frac{45}{3} have the same denominator, add them by adding their numerators.
\frac{1}{3}x=\frac{47}{3}
Add 2 and 45 to get 47.
x=\frac{47}{3}\times 3
Multiply both sides by 3, the reciprocal of \frac{1}{3}.
x=47
Cancel out 3 and 3.