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\frac{1}{4}x=\frac{1}{5}x+40
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
\frac{1}{4}x-\frac{1}{5}x=40
Subtract \frac{1}{5}x from both sides.
\frac{1}{20}x=40
Combine \frac{1}{4}x and -\frac{1}{5}x to get \frac{1}{20}x.
x=40\times 20
Multiply both sides by 20, the reciprocal of \frac{1}{20}.
x=800
Multiply 40 and 20 to get 800.