|-x|=8,4

To solve the equation \(|-x| = 8.4\), we need to understand that the absolute value of a quantity is always non-negative. The absolute value function can be expressed in two cases:

1. \(-x = 8.4\)
2. \(-x = -8.4\)

Now, let's solve each case.

Case 1: \[ -x = 8.4 \] Multiplying both sides by -1 gives: \[ x = -8.4 \]

Case 2: \[ -x = -8.4 \] Again, multiplying both sides by -1 gives: \[ x = 8.4 \]

Thus, the solutions to the equation \(|-x| = 8.4\) are: \[ x = -8.4 \quad \text{and} \quad x = 8.4 \]