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-\frac{x}{2.5}=1.8-12
Subtract 12 from both sides.
-\frac{x}{2.5}=-10.2
Subtract 12 from 1.8 to get -10.2.
\frac{x}{2.5}=\frac{-10.2}{-1}
Divide both sides by -1.
\frac{x}{2.5}=\frac{-102}{-10}
Expand \frac{-10.2}{-1} by multiplying both numerator and the denominator by 10.
\frac{x}{2.5}=\frac{51}{5}
Reduce the fraction \frac{-102}{-10} to lowest terms by extracting and canceling out -2.
x=\frac{51}{5}\times 2.5
Multiply both sides by 2.5.
x=\frac{51}{5}\times \frac{5}{2}
Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.
x=\frac{51\times 5}{5\times 2}
Multiply \frac{51}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
x=\frac{51}{2}
Cancel out 5 in both numerator and denominator.