Answer: x= 11/4 or 5/4
Explanation:
To make the absolute value term positive, both sides are multiplied by (-1). 2|2x-4| = 3
The Absolute Value term is 2|2x-4|
For the Negative case we'll use -2(2x-4)
For the Positive case we'll use 2(2x-4)
Negative Case
Multiply -4x+8 = 3
Rearrange and Add up -4x = -5
Divide both sides by 4 -x = -(5/4)
Multiply both sides by (-1) x = (5/4)
Positive Case
Multiply 4x-8 = 3
Rearrange and Add up 4x = 11
Divide both sides by 4 x = (11/4)