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\frac{3}{2}x+4=13
The opposite of -4 is 4.
\frac{3}{2}x=13-4
Subtract 4 from both sides.
\frac{3}{2}x=9
Subtract 4 from 13 to get 9.
x=9\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{9\times 2}{3}
Express 9\times \frac{2}{3} as a single fraction.
x=\frac{18}{3}
Multiply 9 and 2 to get 18.
x=6
Divide 18 by 3 to get 6.