Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 114: 16

$x=9$

Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $ 4x-10=x+17 ,$ is \begin{array}{l}\require{cancel} 4x-x=17+10 \\\\ 3x=27 \\\\ x=\dfrac{27}{3} \\\\ x=9 .\end{array}