Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 135: 77

$x\gt-10$

Remember in this problem that when we divide by a negative number, we flip the sign of the inequality. Using the properties of inequality, the solution to the given inequality, $ -3\lt8x+7-7x ,$ is: \begin{array}{l}\require{cancel} -8x+7x\lt7+3 \\\\ -x\lt10 \\\\ x\gt-10 .\end{array}