Solve for x
x=-3
x=3
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|2|-|x|+|-7|=6
Divide 16 by 8 to get 2.
2-|x|+|-7|=6
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.
2-|x|+7=6
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -7 is 7.
2-|x|=6-7
Subtract 7 from both sides.
2-|x|=-1
Subtract 7 from 6 to get -1.
-|x|=-1-2
Subtract 2 from both sides.
-|x|=-3
Subtract 2 from -1 to get -3.
|x|=\frac{-3}{-1}
Divide both sides by -1.
|x|=3
Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.
x=3 x=-3
Use the definition of absolute value.
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