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x-\frac{3}{20}x=37.4
Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.
\frac{17}{20}x=37.4
Combine x and -\frac{3}{20}x to get \frac{17}{20}x.
x=37.4\times \frac{20}{17}
Multiply both sides by \frac{20}{17}, the reciprocal of \frac{17}{20}.
x=\frac{187}{5}\times \frac{20}{17}
Convert decimal number 37.4 to fraction \frac{374}{10}. Reduce the fraction \frac{374}{10} to lowest terms by extracting and canceling out 2.
x=\frac{187\times 20}{5\times 17}
Multiply \frac{187}{5} times \frac{20}{17} by multiplying numerator times numerator and denominator times denominator.
x=\frac{3740}{85}
Do the multiplications in the fraction \frac{187\times 20}{5\times 17}.
x=44
Divide 3740 by 85 to get 44.