Question

Solve: |2x-3|=2 CAN SOMEONE EXPLAIN THIS PLEASE!!!!!

Answer 1

Answer:

Step-by-step explanation:

Absolute Value Equation entered :

     |2x-3|=2

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |2x-3| = 2

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-3|

For the Negative case we'll use -(2x-3)

For the Positive case we'll use (2x-3)

STEP

3

:

Solve the Negative Case

     -(2x-3) = 2

    Multiply

     -2x+3 = 2

    Rearrange and Add up

     -2x = -1

    Divide both sides by 2

     -x = -(1/2)

    Multiply both sides by (-1)

     x = (1/2)

    Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

     (2x-3) = 2

    Rearrange and Add up

     2x = 5

    Divide both sides by 2

     x = (5/2)

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=1/2

x=5/2

Solutions on the Number Line

I hope this is what you're asking for.