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\frac{1}{2}x-3-2x=0
Subtract 2x from both sides.
-\frac{3}{2}x-3=0
Combine \frac{1}{2}x and -2x to get -\frac{3}{2}x.
-\frac{3}{2}x=3
Add 3 to both sides. Anything plus zero gives itself.
x=3\left(-\frac{2}{3}\right)
Multiply both sides by -\frac{2}{3}, the reciprocal of -\frac{3}{2}.
x=-2
Cancel out 3 and 3.