Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Test - Page 185: 3

$x=-22$

Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{x+2}{4}=\dfrac{x-3}{5} ,$ is \begin{array}{l}\require{cancel} 5(x+2)=4(x-3) \\\\ 5x+10=4x-12 \\\\ 5x-4x=-12-10 .\\\\ x=-22 \end{array}