Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 114: 3

$x=-8$

Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $ 7x-4-3x=-36 ,$ is \begin{array}{l}\require{cancel} 7x-3x=-36+4 \\\\ 4x=-32 \\\\ x=\dfrac{-32}{4} \\\\ x=-8 .\end{array}