Answer:
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
