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5x+\frac{1}{5}=12
Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
5x=12-\frac{1}{5}
Subtract \frac{1}{5} from both sides.
5x=\frac{60}{5}-\frac{1}{5}
Convert 12 to fraction \frac{60}{5}.
5x=\frac{60-1}{5}
Since \frac{60}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.
5x=\frac{59}{5}
Subtract 1 from 60 to get 59.
x=\frac{\frac{59}{5}}{5}
Divide both sides by 5.
x=\frac{59}{5\times 5}
Express \frac{\frac{59}{5}}{5} as a single fraction.
x=\frac{59}{25}
Multiply 5 and 5 to get 25.