Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5 - Page 175: 26

$x\gt-23$

Using the Distributive Property and the properties of inequalities, the solution to the given inequality, $ 6(x-1)\lt8(x+5) ,$ is \begin{array}{l}\require{cancel} 6x-6\lt8x+40 \\\\ 6x-8x\lt40+6 \\\\ -2x\lt46 \\\\ x\gt\dfrac{46}{-2} \\\\ x\gt-23 .\end{array}