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\frac{9}{20}x-\frac{15}{100}x=18
Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.
\frac{9}{20}x-\frac{3}{20}x=18
Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.
\frac{3}{10}x=18
Combine \frac{9}{20}x and -\frac{3}{20}x to get \frac{3}{10}x.
x=18\times \frac{10}{3}
Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.
x=\frac{18\times 10}{3}
Express 18\times \frac{10}{3} as a single fraction.
x=\frac{180}{3}
Multiply 18 and 10 to get 180.
x=60
Divide 180 by 3 to get 60.