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\frac{2}{3}x+2=\frac{8}{2}
Divide both sides by 2.
\frac{2}{3}x+2=4
Divide 8 by 2 to get 4.
\frac{2}{3}x=4-2
Subtract 2 from both sides.
\frac{2}{3}x=2
Subtract 2 from 4 to get 2.
x=2\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=3
Cancel out 2 and 2.