Solve for x
x\leq -7
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2x-6-4x\geq 8
Subtract 4x from both sides.
-2x-6\geq 8
Combine 2x and -4x to get -2x.
-2x\geq 8+6
Add 6 to both sides.
-2x\geq 14
Add 8 and 6 to get 14.
x\leq \frac{14}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq -7
Divide 14 by -2 to get -7.
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