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x+\frac{1}{2}x=12
Add \frac{1}{2}x to both sides.
\frac{3}{2}x=12
Combine x and \frac{1}{2}x to get \frac{3}{2}x.
x=12\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{12\times 2}{3}
Express 12\times \frac{2}{3} as a single fraction.
x=\frac{24}{3}
Multiply 12 and 2 to get 24.
x=8
Divide 24 by 3 to get 8.