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4x-2-12x\geq 16
Subtract 12x from both sides.
-8x-2\geq 16
Combine 4x and -12x to get -8x.
-8x\geq 16+2
Add 2 to both sides.
-8x\geq 18
Add 16 and 2 to get 18.
x\leq \frac{18}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x\leq -\frac{9}{4}
Reduce the fraction \frac{18}{-8} to lowest terms by extracting and canceling out 2.