Answer
$x=\frac{7}{2}$ or $x=1$
Work Step by Step
We are given:
$|4x-9|=5$
$4x-9=5$ or $4x-9=-5$
Simplify:
$4x=14$ or $4x=4$
$x=\frac{7}{2}$ or $x=1$
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