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5x-12-8x\leq -6
Subtract 8x from both sides.
-3x-12\leq -6
Combine 5x and -8x to get -3x.
-3x\leq -6+12
Add 12 to both sides.
-3x\leq 6
Add -6 and 12 to get 6.
x\geq \frac{6}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\geq -2
Divide 6 by -3 to get -2.