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8x-12-9x\geq -2
Subtract 9x from both sides.
-x-12\geq -2
Combine 8x and -9x to get -x.
-x\geq -2+12
Add 12 to both sides.
-x\geq 10
Add -2 and 12 to get 10.
x\leq -10
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.