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6x+12-4x=6-2x
Use the distributive property to multiply 2 by 3x+6.
2x+12=6-2x
Combine 6x and -4x to get 2x.
2x+12+2x=6
Add 2x to both sides.
4x+12=6
Combine 2x and 2x to get 4x.
4x=6-12
Subtract 12 from both sides.
4x=-6
Subtract 12 from 6 to get -6.
x=\frac{-6}{4}
Divide both sides by 4.
x=-\frac{3}{2}
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.