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\frac{3}{2}x=-4+9
Add 9 to both sides.
\frac{3}{2}x=5
Add -4 and 9 to get 5.
x=5\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{5\times 2}{3}
Express 5\times \frac{2}{3} as a single fraction.
x=\frac{10}{3}
Multiply 5 and 2 to get 10.