Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 21

$x=\dfrac{11}{2}$

Using the properties of equality, the value of the variable that satisfies the given equation, $ 7+4x=29 ,$ is \begin{array}{l}\require{cancel} 4x=29-7 \\\\ 4x=22 \\\\ x=\dfrac{22}{4} \\\\ x=\dfrac{\cancel{2}\cdot11}{\cancel{2}\cdot2} \\\\ x=\dfrac{11}{2} .\end{array}