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x=-2\left(-\frac{5}{4}\right)
Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}.
x=\frac{-2\left(-5\right)}{4}
Express -2\left(-\frac{5}{4}\right) as a single fraction.
x=\frac{10}{4}
Multiply -2 and -5 to get 10.
x=\frac{5}{2}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.