Question

solve 2x-3/3x+2= -2/3​

Answer 1

Absolute Value Equation entered :

|2x-3|=3x-2

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

|2x-3| = 3x-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) = 3x-2

Multiply

-2x+3 = 3x-2

Rearrange and Add up

-5x = -5

Divide both sides by 5

-x = -1

Multiply both sides by (-1)

x = 1

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

(2x-3) = 3x-2

Rearrange and Add up

-x = 1

Multiply both sides by (-1)

x = -1

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=1

x=-1