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