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\frac{2}{3}x=5+1
Add 1 to both sides.
\frac{2}{3}x=6
Add 5 and 1 to get 6.
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.