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\frac{2}{3}x=11+7
Add 7 to both sides.
\frac{2}{3}x=18
Add 11 and 7 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.