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5x-2-6x\geq 6
Subtract 6x from both sides.
-x-2\geq 6
Combine 5x and -6x to get -x.
-x\geq 6+2
Add 2 to both sides.
-x\geq 8
Add 6 and 2 to get 8.
x\leq -8
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.