Answer
$x = \dfrac{d + ab}{c}$ or $x = \dfrac{d – ab}{c}$
Work Step by Step
$|cx – d| = ab$ means:
$cx – d = ab$ or $cx – d = –ab$
Solving for $x$ in each equation we get:
$cx – d = ab$
$cx = d + ab$
$x = \dfrac{d + ab}{c}$
or
$cx – d = –ab$
$cx = d – ab$
$x = \dfrac{d – ab}{c}$