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\frac{1}{5}x+23=\frac{1}{4}x
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
\frac{1}{5}x+23-\frac{1}{4}x=0
Subtract \frac{1}{4}x from both sides.
-\frac{1}{20}x+23=0
Combine \frac{1}{5}x and -\frac{1}{4}x to get -\frac{1}{20}x.
-\frac{1}{20}x=-23
Subtract 23 from both sides. Anything subtracted from zero gives its negation.
x=-23\left(-20\right)
Multiply both sides by -20, the reciprocal of -\frac{1}{20}.
x=460
Multiply -23 and -20 to get 460.