## College Algebra 7th Edition

$\displaystyle x=\frac{25}{6}$ $\displaystyle x=-\frac{65}{6}$
$|\displaystyle \frac{3}{5}x+2|-\frac{1}{2}=4$ $|\frac{3}{5}x+2|=4+\frac{1}{2}=\frac{9}{2}$ We split the absolute value into two equations, the positive and negative: $\displaystyle \frac{3}{5}x+2=\frac{9}{2}$ $\displaystyle \frac{3}{5}x=\frac{5}{2}$ $\displaystyle x=\frac{25}{6}$ $\displaystyle \frac{3}{5}x+2=-\frac{9}{2}$ $\displaystyle \frac{3}{5}x=-\frac{13}{2}$ $\displaystyle x=-\frac{65}{6}$