Solve for x
x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667
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3x-\left(9x-2\right)-12=0
Multiply both sides of the equation by 6, the least common multiple of 2,6.
3x-9x-\left(-2\right)-12=0
To find the opposite of 9x-2, find the opposite of each term.
3x-9x+2-12=0
The opposite of -2 is 2.
-6x+2-12=0
Combine 3x and -9x to get -6x.
-6x-10=0
Subtract 12 from 2 to get -10.
-6x=10
Add 10 to both sides. Anything plus zero gives itself.
x=\frac{10}{-6}
Divide both sides by -6.
x=-\frac{5}{3}
Reduce the fraction \frac{10}{-6} to lowest terms by extracting and canceling out 2.
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