Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5 - Page 175: 14

$x\gt\dfrac{3}{2}$

Using the properties of inequalities, the solution to the given inequality, $ -6x+8\lt-4x+5 ,$ is \begin{array}{l}\require{cancel} -6x+4x\lt5-8 \\\\ -2x\lt-3 \\\\ x\gt\dfrac{-3}{-2} \\\\ x\gt\dfrac{3}{2} .\end{array}