Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 114: 4

$x=-7$

Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $ 8x-3-2x=-45 ,$ is \begin{array}{l}\require{cancel} 8x-2x=-45+3 \\\\ 6x=-42 \\\\ x=\dfrac{-42}{6} \\\\ x=-7 .\end{array}