Two solutions were found :
x=8
x=-1
Absolute Value Equation entered :
|2x-7|=9
Step by step solution :
Step 1 :
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|2x-7| = 9
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 |2x-7|
For the Negative case we'll use -(2x-7)
For the Positive case we'll use (2x-7)
Step 3 :
Solve the Negative Case
-(2x-7) = 9
Multiply
-2x+7 = 9
Rearrange and Add up
-2x = 2
Divide both sides by 2
-x = 1
Multiply both sides by (-1)
x = -1
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(2x-7) = 9
Rearrange and Add up
2x = 16
Divide both sides by 2
x = 8
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
x=-1
x=8
Solutions on the Number Line
Two solutions were found :
x=8
x=-1