Solve for x
x=-8
x=8
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|x|-2=|-8|-|-2|
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 2 is 2.
|x|-2=8-|-2|
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -8 is 8.
|x|-2=8-2
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.
|x|-2=6
Subtract 2 from 8 to get 6.
|x|=6+2
Add 2 to both sides.
|x|=8
Add 6 and 2 to get 8.
x=8 x=-8
Use the definition of absolute value.
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