Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5 - Page 175: 24

$x\gt-23$

Using the Distributive Property and the properties of inequalities, the solution to the given inequality, $ 5(x+3)\gt4(x-2) ,$ is \begin{array}{l}\require{cancel} 5x+15\gt4x-8 \\\\ 5x-4x\gt-8-15 \\\\ x\gt-23 .\end{array}