# How do you solve abs(x-8)=3?

Apr 13, 2015

As $\left\mid x - 8 \right\mid = 3$, we can say that

$x - 8 = 3 \mathmr{and} x - 8 = - 3$

There will hence be two solutions for $x$

First solution:
$x - 8 = 3$
$x = 3 + 8$ (Transposed -8 to the Right Hand Side)
color(green)(x=11

Second solution
$x - 8 = - 3$
$x = - 3 + 8$ (Transposed -8 to the Right Hand Side)
color(green)(x = 5