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\frac{2}{3}x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=-6\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{-6\times 3}{2}
Express -6\times \frac{3}{2} as a single fraction.
x=\frac{-18}{2}
Multiply -6 and 3 to get -18.
x=-9
Divide -18 by 2 to get -9.