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-\frac{x}{1.2}=16.6-1
Subtract 1 from both sides.
-\frac{x}{1.2}=15.6
Subtract 1 from 16.6 to get 15.6.
\frac{x}{1.2}=\frac{15.6}{-1}
Divide both sides by -1.
\frac{x}{1.2}=\frac{156}{-10}
Expand \frac{15.6}{-1} by multiplying both numerator and the denominator by 10.
\frac{x}{1.2}=-\frac{78}{5}
Reduce the fraction \frac{156}{-10} to lowest terms by extracting and canceling out 2.
x=-\frac{78}{5}\times 1.2
Multiply both sides by 1.2.
x=-\frac{78}{5}\times \frac{6}{5}
Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.
x=\frac{-78\times 6}{5\times 5}
Multiply -\frac{78}{5} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
x=\frac{-468}{25}
Do the multiplications in the fraction \frac{-78\times 6}{5\times 5}.
x=-\frac{468}{25}
Fraction \frac{-468}{25} can be rewritten as -\frac{468}{25} by extracting the negative sign.