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2x+12-4\geq 4x+2\left(x+2\right)
Use the distributive property to multiply 2 by x+6.
2x+8\geq 4x+2\left(x+2\right)
Subtract 4 from 12 to get 8.
2x+8\geq 4x+2x+4
Use the distributive property to multiply 2 by x+2.
2x+8\geq 6x+4
Combine 4x and 2x to get 6x.
2x+8-6x\geq 4
Subtract 6x from both sides.
-4x+8\geq 4
Combine 2x and -6x to get -4x.
-4x\geq 4-8
Subtract 8 from both sides.
-4x\geq -4
Subtract 8 from 4 to get -4.
x\leq \frac{-4}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x\leq 1
Divide -4 by -4 to get 1.