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5x-8-6x\geq 12
Subtract 6x from both sides.
-x-8\geq 12
Combine 5x and -6x to get -x.
-x\geq 12+8
Add 8 to both sides.
-x\geq 20
Add 12 and 8 to get 20.
x\leq -20
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.