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5225=x-\frac{1}{20}x
Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.
5225=\frac{19}{20}x
Combine x and -\frac{1}{20}x to get \frac{19}{20}x.
\frac{19}{20}x=5225
Swap sides so that all variable terms are on the left hand side.
x=5225\times \frac{20}{19}
Multiply both sides by \frac{20}{19}, the reciprocal of \frac{19}{20}.
x=\frac{5225\times 20}{19}
Express 5225\times \frac{20}{19} as a single fraction.
x=\frac{104500}{19}
Multiply 5225 and 20 to get 104500.
x=5500
Divide 104500 by 19 to get 5500.