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2x-2=6x+12x
Multiply 3 and 4 to get 12.
2x-2=18x
Combine 6x and 12x to get 18x.
2x-2-18x=0
Subtract 18x from both sides.
-16x-2=0
Combine 2x and -18x to get -16x.
-16x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{-16}
Divide both sides by -16.
x=-\frac{1}{8}
Reduce the fraction \frac{2}{-16} to lowest terms by extracting and canceling out 2.