Chapter 2 - Equations, Inequalities, and Problem Solving - Review Exercises: Chapter 2 - Page 149: 23

$x=-\dfrac{7}{5}$

Using the properties of equality, the solution to the given equation, $ 4(5x-7)=-56 $, is \begin{array}{l}\require{cancel} 4(5x)+4(-7)=-56 \\\\ 20x-28=-56 \\\\ 20x=-56+28 \\\\ 20x=-28 \\\\ x=-\dfrac{28}{20} \\\\ x=-\dfrac{\cancel{4}\cdot7}{\cancel{4}\cdot5} \\\\ x=-\dfrac{7}{5} .\end{array}