Intermediate Algebra (6th Edition)

Solutions are $2, \frac{-14}{5}$
$|\frac{5x+2}{2}| = |-6|$ Absolute value of a negative number is positive number. So, $|\frac{5x+2}{2}| = 6$ This is equivalent to $\frac{5x+2}{2} = 6$ or $\frac{5x+2}{2} = -6$ $5x+2 = 12$ or $5x+2 = -12$ $5x= 12-2$ or $5x = -12-2$ $5x= 10$ or $5x = -14$ $x = 2$ or $x = \frac{-14}{5}$ Solutions are $2, \frac{-14}{5}$