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answer:
x=1/3
x=11/3
STEP 1:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
-3|x-2|+9 = 4
Another term is moved / added to the right hand side.
To make the absolute value term positive, both sides are multiplied by (-1).
3|x-2| = 5
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 3|x-2|
For the Negative case we'll use -3(x-2)
For the Positive case we'll use 3(x-2)
STEP 3:
Solve the Negative Case
-3(x-2) = 5
Multiply
-3x+6 = 5
Rearrange and Add up
-3x = -1
Divide both sides by 3
-x = -(1/3)
Multiply both sides by(-1)
x = (1/3)
Which is the solution for the Negative Case
STEP 4:
Solve the Positive Case
3(x-2) = 5
Multiply
3x-6 = 5
Rearrange and Add up
3x = 11
Divide both sides by 3
x = (11/3)
Which is the solution for the Positive Case
giving us x=1/3 or x=11/3
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