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.

Learn how to solve the linear equation -4x = -8 with a step-by-step guide. This tutorial walks through algebraic concepts, including isolating the variable and dividing by negative numbers. Ideal for students in Grades 6-8.

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