Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 114: 1

$x=5$

Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $ 2x+7+3x=32 ,$ is \begin{array}{l}\require{cancel} 2x+3x=25 \\\\ 5x=25 \\\\ x=\dfrac{25}{5} \\\\ x=5 .\end{array}