## Elementary Algebra

$x\gt-23$
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}