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