Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 95: 104

$x=4.423346424$

Using the properties of equality, the solution to the given equation, $ 0.008+9.62x-42.8=0.944x+0.0083-x $, is \begin{array}{l} 9.62x-0.944x+x=0.0083-0.008+42.8 \\\\ 9.676x=42.8003 \\\\ x=\dfrac{42.8003}{9.676} \\\\ x=4.423346424 .\end{array}