I need help with this equation |5-3x|+2=19

:) here

Step-by-step explanation:

x

=

−

4

or

x

=

22

3

15

31

Step-by-step explanation:

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     5|3x-2|-2 = 19

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

     5|3x-2| = 21

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 5|3x-2|

For the Negative case we'll use -5(3x-2)

For the Positive case we'll use 5(3x-2)

STEP

3

:

Solve the Negative Case

     -5(3x-2) = 21

    Multiply

     -15x+10 = 21

    Rearrange and Add up

     -15x = 11

    Divide both sides by 15

     -x = (11/15)

    Multiply both sides by (-1)

     x = -(11/15)

    Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

     5(3x-2) = 21

    Multiply

     15x-10 = 21

    Rearrange and Add up

     15x = 31

    Divide both sides by 15

     x = (31/15)

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=-11/15

x=31/15