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0=12x-x-\left(-6\right)
To find the opposite of x-6, find the opposite of each term.
0=12x-x+6
The opposite of -6 is 6.
0=11x+6
Combine 12x and -x to get 11x.
11x+6=0
Swap sides so that all variable terms are on the left hand side.
11x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{11}
Divide both sides by 11.
x=-\frac{6}{11}
Fraction \frac{-6}{11} can be rewritten as -\frac{6}{11} by extracting the negative sign.