Chapter 2 - Equations, Inequalities, and Problem Solving - Review Exercises: Chapter 2 - Page 149: 24

$x=0$

Using the properties of equality, the solution to the given equation, $ 8(x-2)=4(x-4) $, is \begin{array}{l}\require{cancel} 8(x)+8(-2)=4(x)+4(-4) \\\\ 8x-16=4x-16 \\\\ 8x-4x=-16+16 \\\\ 4x=0 \\\\ x=\dfrac{0}{4} \\\\ x=0 .\end{array}