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46+3x\left(-6\right)=-6x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x.
46-18x=-6x
Multiply 3 and -6 to get -18.
46-18x+6x=0
Add 6x to both sides.
46-12x=0
Combine -18x and 6x to get -12x.
-12x=-46
Subtract 46 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-46}{-12}
Divide both sides by -12.
x=\frac{23}{6}
Reduce the fraction \frac{-46}{-12} to lowest terms by extracting and canceling out -2.