Answer
$x\gt\frac{c-b}{a}$ or $x\lt\frac{-c-b}{a}$.
Work Step by Step
$|ax+b|\gt c$ implies $ax+b\gt c\\ax\gt c-b\\x\gt\frac{c-b}{a}$ or $ax+b\lt -c\\ax\lt -c-b\\x\lt\frac{-c-b}{a}$.
Thus $x\gt\frac{c-b}{a}$ or $x\lt\frac{-c-b}{a}$.
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