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Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |-p+8| = 2p-3  

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 |-p+8|

For the Negative case we'll use -(-p+8)  

For the Positive case we'll use (-p+8)  

STEP

3

:

Solve the Negative Case

     -(-p+8) = 2p-3  

    Multiply

     p-8 = 2p-3  

    Rearrange and Add up

     -p = 5  

    Multiply both sides by (-1)

     p = -5  

    Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

     (-p+8) = 2p-3  

    Rearrange and Add up

     -3p = -11  

    Divide both sides by 3

     -p = -(11/3)  

    Multiply both sides by (-1)

     p = (11/3)  

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

p=-5

p=11/3

Solutions on the Number Line

Two solutions were found :

p=11/3

p=-5

Step-by-step explanation: