Answer:
x=3
Step-by-step explanation:
The Absolute Value term is 2|3x-2|
For the Negative case we'll use -2(3x-2)
For the Positive case we'll use 2(3x-2)
2(3x-2) = 14
Multiply
-6x+4 = 14
Rearrange and Add up
-6x = 10
Divide both sides by 6
-x = (5/3)
Multiply both sides by (-1)
x = -(5/3)
Which is the solution for the Negative Case
2(3x-2) = 14
Multiply
6x-4 = 14
Rearrange and Add up
6x = 18
Divide both sides by 6
x = 3
Which is the solution for the Positive Case
x=-5/3
x=3
