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\frac{1}{2}x-2-x=-6
Subtract x from both sides.
-\frac{1}{2}x-2=-6
Combine \frac{1}{2}x and -x to get -\frac{1}{2}x.
-\frac{1}{2}x=-6+2
Add 2 to both sides.
-\frac{1}{2}x=-4
Add -6 and 2 to get -4.
x=-4\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
x=8
Multiply -4 and -2 to get 8.