Solve for x |x-8|=2

Math
|x-8|=2
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
x-8=±2
Set up the positive portion of the ± solution.
x-8=2
Move all terms not containing x to the right side of the equation.
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Add 8 to both sides of the equation.
x=2+8
Add 2 and 8.
x=10
x=10
Set up the negative portion of the ± solution.
x-8=-2
Move all terms not containing x to the right side of the equation.
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Add 8 to both sides of the equation.
x=-2+8
Add -2 and 8.
x=6
x=6
The solution to the equation includes both the positive and negative portions of the solution.
x=10,6
Solve for x |x-8|=2

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