Answer
$(-\infty,-10) \cup (14, \infty)$
Work Step by Step
Given: $|2x-4| -6\gt 18$
or, $|2x-4| \gt 18+6$
or,$2x-4 \gt 24$
or, $x \gt 14$
Now, $|2x-4| \gt 6+18$
or,$2x-4 \lt -24 \implies 2x \lt -20$
or, $x \lt -10$
Hence, $(-\infty,-10) \cup (14, \infty)$
