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-2x-8\geq 0
Combine x and -3x to get -2x.
-2x\geq 8
Add 8 to both sides. Anything plus zero gives itself.
x\leq \frac{8}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq -4
Divide 8 by -2 to get -4.