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x-\frac{9}{5}x=32
Subtract \frac{9}{5}x from both sides.
-\frac{4}{5}x=32
Combine x and -\frac{9}{5}x to get -\frac{4}{5}x.
x=32\left(-\frac{5}{4}\right)
Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}.
x=\frac{32\left(-5\right)}{4}
Express 32\left(-\frac{5}{4}\right) as a single fraction.
x=\frac{-160}{4}
Multiply 32 and -5 to get -160.
x=-40
Divide -160 by 4 to get -40.