|x−3|+2=−3|x-3|+2=-3
Move all terms not containing |x−3||x-3| to the right side of the equation.
|x−3|=−5
Remove the absolute value term. This creates a ±± on the right side of the equation because |x|=±x|x|=±x.
x−3=±(−5)
Set up the positive portion of the ± solution.
x−3=−5
Move all terms not containing x to the right side of the equation.
x= −2
Set up the negative portion of the ± solution.
x−3 =5
Move all terms not containing x to the right side of the equation.
x=8
The solution to the equation includes both the positive and negative portions of the solution.
x=−2, 8
