Answer
$x=-\dfrac{4}{3}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of equality to solve the given equation, $
-\dfrac{x}{6}=\dfrac{2}{9}
.$
$\bf{\text{Solution Details:}}$
Using the Multiplication Property of Equality, the given equation is equivalent to
\begin{array}{l}\require{cancel}
-\dfrac{x}{6}=\dfrac{2}{9}
\\\\
-6\left( -\dfrac{x}{6} \right)=-6\left( \dfrac{2}{9} \right)
\\\\
x=-\dfrac{12}{9}
\\\\
x=-\dfrac{\cancel3(4)}{\cancel3(3)}
\\\\
x=-\dfrac{4}{3}
.\end{array}
