What is the answer to -|3x-9|+2=-4

entered :

-|3x-9|+2=-4

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

-|3x-9|+2 = -4

Another term is moved / added to the right hand side.

To make the absolute value term positive, both sides are multiplied by (-1).

|3x-9| = 6

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 |3x-9|

For the Negative case we'll use -(3x-9)

For the Positive case we'll use (3x-9)

STEP

3

:

Solve the Negative Case

-(3x-9) = 6

Multiply

-3x+9 = 6

Rearrange and Add up

-3x = -3

Divide both sides by 3

-x = -1

Multiply both sides by (-1)

x = 1

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

(3x-9) = 6

Rearrange and Add up

3x = 15

Divide both sides by 3

x = 5

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=1

x=5

I hope this help you

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