Answer
{$-2,7$}
Work Step by Step
Step 1: $|2x-5|=9$
Step 2: Using the absolute value property, $2x-5=9$ or $2x-5=-9$
Step 3: $2x-5+5=9+5$ or $2x-5+5=-9+5$
Step 4: $2x=14$ or $2x=-4$
Step 5: $x=7$ or $x=-2$
Step 6: Therefore, the solution set is {$-2,7$}