Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set - Page 184: 60

$x\lt\dfrac{26}{5}$

Using the Distributive Property and the properties of inequalitiwa, the solution to the given inequality, $ 2(x+3)+3(x-6)\lt14 ,$ is \begin{array}{l}\require{cancel} 2x+6+3x-18\lt14 \\\\ 2x+3x\lt14-6+18 \\\\ 5x\lt26 \\\\ x\lt\dfrac{26}{5} .\end{array}