# How do you solve  3abs(x - 5)= 12?

May 1, 2015

If $3 \left\mid x - 5 \right\mid = 12$
then
$\left\mid x - 5 \right\mid = 4$

If $\left(x - 5\right) < 0$
this equivalent to
$5 - x = 4$
$x = 1$

If $\left(x - 5\right) \ge 4$
then $\left\mid x - 5 \right\mid = 4$ is equivalent to
$x - 5 = 4$
$x = 9$

The given equation has tow solutions
$x = 1$ and $x = 9$