Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 114: 26

$x=\dfrac{24}{5}$

Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $ -10-7x=14-12x ,$ is \begin{array}{l}\require{cancel} -7x+12x=14+10 \\\\ 5x=24 \\\\ x=\dfrac{24}{5} .\end{array}