Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 27

$x=18$

Using the properties of equality, the value of the variable that satisfies the given equation, $ 17-2x=-19 ,$ is \begin{array}{l}\require{cancel} -2x=-19-17 \\\\ -2x=-36 \\\\ x=\dfrac{-36}{-2} \\\\ x=18 .\end{array}