We want the value of x that makes the equation true.
- Start with the equation:
\(x - 4 = -2\)
- Add 4 to both sides (to remove the \(-4\)):
\(x - 4 + 4 = -2 + 4\)
- Simplify both sides:
\(x = 2\)
- Check your answer by substituting \(x = 2\):
\(2 - 4 = -2\) ✓ True
So, the solution is \(x = 2\). This matches option B.