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-\frac{1}{6}=3x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
3x=-\frac{1}{6}
Swap sides so that all variable terms are on the left hand side.
x=\frac{-\frac{1}{6}}{3}
Divide both sides by 3.
x=\frac{-1}{6\times 3}
Express \frac{-\frac{1}{6}}{3} as a single fraction.
x=\frac{-1}{18}
Multiply 6 and 3 to get 18.
x=-\frac{1}{18}
Fraction \frac{-1}{18} can be rewritten as -\frac{1}{18} by extracting the negative sign.