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\frac{2}{3}x+2=3
Calculate \frac{1}{3} to the power of -1 and get 3.
\frac{2}{3}x=3-2
Subtract 2 from both sides.
\frac{2}{3}x=1
Subtract 2 from 3 to get 1.
x=1\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{3}{2}
Multiply 1 and \frac{3}{2} to get \frac{3}{2}.