Chapter 2 - Equations, Inequalities, and Problem Solving - Review Exercises: Chapter 2 - Page 149: 17

$x=-\dfrac{1}{3}$

Using the properties of equality, the solution to the given equation, $ 7x-6=25x $, is \begin{array}{l}\require{cancel} 7x-25x=6 \\\\ -18x=6 \\\\ x=\dfrac{6}{-18} \\\\ x=\dfrac{1}{-3} \\\\ x=-\dfrac{1}{3} .\end{array}