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\frac{3}{4}x-5=22
Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.
\frac{3}{4}x=22+5
Add 5 to both sides.
\frac{3}{4}x=27
Add 22 and 5 to get 27.
x=27\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{27\times 4}{3}
Express 27\times \frac{4}{3} as a single fraction.
x=\frac{108}{3}
Multiply 27 and 4 to get 108.
x=36
Divide 108 by 3 to get 36.