To solve the equation:

$-4x = -8$

1. Divide both sides of the equation by $-4$ to isolate $x$:

$x = \frac{-8}{-4}$

2. Simplify the right-hand side:

$x = 2$

So, the solution is $x = 2$.

Would you like more details or have any questions about this?

Here are five related questions to deepen your understanding:

1. What if the equation was $4x = 8$?
2. How would you solve the equation $-4x = 12$?
3. Can you explain what happens when dividing by negative numbers?
4. How would you solve $5x = -20$?
5. What is the solution to the equation $-3x = -9$?

Tip: Always remember that dividing or multiplying both sides of an equation by a negative number flips the sign of the result.