Answer
The answer is x= 5.5, 1.5
Work Step by Step
To solve this, the steps are following
$5|2x-7|=20$ (divide both sides by 5)
$|2x-7| = 20/5 $
$|2x-7| = 4$
** When we open the absolute bars, there are two values of x as the absolute value of a negative number is also positive.
1.
$|2x-7| = 4$
2x-7 = 4
2x = 11
x=5.5
2.
$|2x-7| = 4$
-(2x-7) = 4
2x-7 = -4
2x = 3
x = 1.5
Therefore the values of x are 1.5, 5.5.