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4x+2x+6=2\left(x+2\right)
Use the distributive property to multiply 2 by x+3.
6x+6=2\left(x+2\right)
Combine 4x and 2x to get 6x.
6x+6=2x+4
Use the distributive property to multiply 2 by x+2.
6x+6-2x=4
Subtract 2x from both sides.
4x+6=4
Combine 6x and -2x to get 4x.
4x=4-6
Subtract 6 from both sides.
4x=-2
Subtract 6 from 4 to get -2.
x=\frac{-2}{4}
Divide both sides by 4.
x=-\frac{1}{2}
Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.