# How do you solve abs[x-6] = 16?

$x = 22 \mathmr{and} x = - 10$
use the theorem $\left\mid w \left(x\right) \right\mid = a \mathmr{if} \mathmr{and} o n l y \mathmr{if} w \left(x\right) = a \mathmr{and} w \left(x\right) = - a$ by $a \ge 0$
$x - 6 = 16 \mathmr{and} x - 6 = - 16$
$x = 22 \mathmr{and} x = - 10$