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\frac{2}{3}x-\frac{2}{3}\times \frac{1}{3}x=20
Combine x and -\frac{1}{3}x to get \frac{2}{3}x.
\frac{2}{3}x-\frac{2\times 1}{3\times 3}x=20
Multiply \frac{2}{3} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{3}x-\frac{2}{9}x=20
Do the multiplications in the fraction \frac{2\times 1}{3\times 3}.
\frac{4}{9}x=20
Combine \frac{2}{3}x and -\frac{2}{9}x to get \frac{4}{9}x.
x=20\times \frac{9}{4}
Multiply both sides by \frac{9}{4}, the reciprocal of \frac{4}{9}.
x=\frac{20\times 9}{4}
Express 20\times \frac{9}{4} as a single fraction.
x=\frac{180}{4}
Multiply 20 and 9 to get 180.
x=45
Divide 180 by 4 to get 45.