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\frac{2}{3}x+\frac{1}{5}=\frac{1}{5}
Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
\frac{2}{3}x=\frac{1}{5}-\frac{1}{5}
Subtract \frac{1}{5} from both sides.
\frac{2}{3}x=0
Subtract \frac{1}{5} from \frac{1}{5} to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{2}{3} is not equal to 0, x must be equal to 0.