Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 25

$x=\dfrac{10}{7}$

Using the properties of equality, the value of the variable that satisfies the given equation, $ -7x+3=-7 ,$ is \begin{array}{l}\require{cancel} -7x=-7-3 \\\\ -7x=-10 \\\\ x=\dfrac{-10}{-7} \\\\ x=\dfrac{10}{7} .\end{array}