Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 94: 37

$x=\dfrac{9}{8}$

By combining like terms and by using the properties of equality, the solution to the given equation, $ 6x+10x=18 $, is \begin{array}{l}\require{cancel} 16x=18 \\\\ x=\dfrac{18}{16} \\\\ x=\dfrac{\cancel{2}\cdot9}{\cancel{2}\cdot8} \\\\ x=\dfrac{9}{8} .\end{array}