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2-2x-x\geq 8
Subtract x from both sides.
2-3x\geq 8
Combine -2x and -x to get -3x.
-3x\geq 8-2
Subtract 2 from both sides.
-3x\geq 6
Subtract 2 from 8 to get 6.
x\leq \frac{6}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\leq -2
Divide 6 by -3 to get -2.