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x-3+3\left(6x+3\right)=0
Multiply both sides of the equation by 6, the least common multiple of 6,2.
x-3+18x+9=0
Use the distributive property to multiply 3 by 6x+3.
19x-3+9=0
Combine x and 18x to get 19x.
19x+6=0
Add -3 and 9 to get 6.
19x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{19}
Divide both sides by 19.
x=-\frac{6}{19}
Fraction \frac{-6}{19} can be rewritten as -\frac{6}{19} by extracting the negative sign.