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\frac{2}{3}x+6=-12
Swap sides so that all variable terms are on the left hand side.
\frac{2}{3}x=-12-6
Subtract 6 from both sides.
\frac{2}{3}x=-18
Subtract 6 from -12 to get -18.
x=-18\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{-18\times 3}{2}
Express -18\times \frac{3}{2} as a single fraction.
x=\frac{-54}{2}
Multiply -18 and 3 to get -54.
x=-27
Divide -54 by 2 to get -27.