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2+2x\times 9=12x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x.
2+18x=12x
Multiply 2 and 9 to get 18.
2+18x-12x=0
Subtract 12x from both sides.
2+6x=0
Combine 18x and -12x to get 6x.
6x=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2}{6}
Divide both sides by 6.
x=-\frac{1}{3}
Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.