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5x-5\times \frac{1}{4}=\frac{8}{5}
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
5x-\frac{5}{4}=\frac{8}{5}
Multiply 5 and \frac{1}{4} to get \frac{5}{4}.
5x=\frac{8}{5}+\frac{5}{4}
Add \frac{5}{4} to both sides.
5x=\frac{32}{20}+\frac{25}{20}
Least common multiple of 5 and 4 is 20. Convert \frac{8}{5} and \frac{5}{4} to fractions with denominator 20.
5x=\frac{32+25}{20}
Since \frac{32}{20} and \frac{25}{20} have the same denominator, add them by adding their numerators.
5x=\frac{57}{20}
Add 32 and 25 to get 57.
x=\frac{\frac{57}{20}}{5}
Divide both sides by 5.
x=\frac{57}{20\times 5}
Express \frac{\frac{57}{20}}{5} as a single fraction.
x=\frac{57}{100}
Multiply 20 and 5 to get 100.