Solve for x
x=6
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\frac{1}{2}x+3-2x=-6
Subtract 2x from both sides.
-\frac{3}{2}x+3=-6
Combine \frac{1}{2}x and -2x to get -\frac{3}{2}x.
-\frac{3}{2}x=-6-3
Subtract 3 from both sides.
-\frac{3}{2}x=-9
Subtract 3 from -6 to get -9.
x=-9\left(-\frac{2}{3}\right)
Multiply both sides by -\frac{2}{3}, the reciprocal of -\frac{3}{2}.
x=\frac{-9\left(-2\right)}{3}
Express -9\left(-\frac{2}{3}\right) as a single fraction.
x=\frac{18}{3}
Multiply -9 and -2 to get 18.
x=6
Divide 18 by 3 to get 6.
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