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x-4\geq 4x+8
Use the distributive property to multiply 4 by x+2.
x-4-4x\geq 8
Subtract 4x from both sides.
-3x-4\geq 8
Combine x and -4x to get -3x.
-3x\geq 8+4
Add 4 to both sides.
-3x\geq 12
Add 8 and 4 to get 12.
x\leq \frac{12}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\leq -4
Divide 12 by -3 to get -4.