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\frac{2}{3}x=-\frac{4}{5}
Subtract \frac{4}{5} from both sides. Anything subtracted from zero gives its negation.
x=-\frac{4}{5}\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{-4\times 3}{5\times 2}
Multiply -\frac{4}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
x=\frac{-12}{10}
Do the multiplications in the fraction \frac{-4\times 3}{5\times 2}.
x=-\frac{6}{5}
Reduce the fraction \frac{-12}{10} to lowest terms by extracting and canceling out 2.