Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 149: 35

$x=34$

Using cross-multiplication, the value of the variable that satisfies the given equation, $ \dfrac{-4}{x+2}=\dfrac{-3}{x-7} ,$ is \begin{array}{l}\require{cancel} -4(x-7)=-3(x+2) \\\\ -4x+28=-3x-6 \\\\ -4x+3x=-6-28 \\\\ -x=-34 \\\\ x=34 .\end{array}