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4x-2-12x\geq 6
Subtract 12x from both sides.
-8x-2\geq 6
Combine 4x and -12x to get -8x.
-8x\geq 6+2
Add 2 to both sides.
-8x\geq 8
Add 6 and 2 to get 8.
x\leq \frac{8}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x\leq -1
Divide 8 by -8 to get -1.