Solve the Equation: -|x| = 8 - Understanding Absolute Value

x=8 -\left|x\right|=8

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1

Understand the problem

x=8 -\left|x\right|=8

2

Step-by-step solution

Let's solve the equation x=8 -\left|x\right|=8 . The expression inside the absolute value can take two forms:

1. x=8 -x = 8 : This gives x=8 x = -8 .

2. (x)=8 -(-x) = 8 : This simplifies to x=8 x = 8 .

Therefore, the solutions are x=8 x = -8 and x=8 x = 8 .

3

Final Answer

x=8 x=-8 , x=8 x=8

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\( \left|x\right|=3 \)

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