Answer:
|x-4|=8
Two solutions were found :
x=12
x=-4
Absolute Value Equation entered :
|x-4|=8
Step by step solution :
Step 1 :
Rearrange this Absolute Value Equation
Absolute value equality entered
|x-4| = 8
Step 2 :
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x-4|
For the Negative case we'll use -(x-4)
For the Positive case we'll use (x-4)
Step 3 :
Solve the Negative Case
-(x-4) = 8
Multiply
-x+4 = 8
Rearrange and Add up
-x = 4
Multiply both sides by (-1)
x = -4
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(x-4) = 8
Rearrange and Add up
x = 12
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
x=-4
x=12
