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\frac{3}{2}x=360
Combine x and \frac{1}{2}x to get \frac{3}{2}x.
x=360\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{360\times 2}{3}
Express 360\times \frac{2}{3} as a single fraction.
x=\frac{720}{3}
Multiply 360 and 2 to get 720.
x=240
Divide 720 by 3 to get 240.