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

Question

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

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 .

Answer

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