Chapter 7 - Cumulative Review - Page 471: 8

$x=\dfrac{2}{3}$

Using the properties of equality, the given equation, $ |3x-2|+5=5 ,$ is equivalent to \begin{array}{l}\require{cancel} |3x-2|=5-5 \\\\ |3x-2|=0 \\\\ 3x-2=0 \\\\ 3x=0+2 \\\\ 3x=2 \\\\ x=\dfrac{2}{3} .\end{array}