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2x-6=6\left(x+2\right)
Use the distributive property to multiply 2 by x-3.
2x-6=6x+12
Use the distributive property to multiply 6 by x+2.
2x-6-6x=12
Subtract 6x from both sides.
-4x-6=12
Combine 2x and -6x to get -4x.
-4x=12+6
Add 6 to both sides.
-4x=18
Add 12 and 6 to get 18.
x=\frac{18}{-4}
Divide both sides by -4.
x=-\frac{9}{2}
Reduce the fraction \frac{18}{-4} to lowest terms by extracting and canceling out 2.