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x-3-6\left(2x-17\right)=0
Multiply both sides of the equation by 2.
x-3-12x+102=0
Use the distributive property to multiply -6 by 2x-17.
-11x-3+102=0
Combine x and -12x to get -11x.
-11x+99=0
Add -3 and 102 to get 99.
-11x=-99
Subtract 99 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-99}{-11}
Divide both sides by -11.
x=9
Divide -99 by -11 to get 9.