# Chapter 2 - Equations, Inequalities, and Problem Solving - 2.1 Solving Equations - 2.1 Exercise Set: 80

$x=-\dfrac{4}{3}$

#### 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}

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