To solve the equation \( 13 - 4x = -11 \):

1. **Isolate the term with \( x \):**
   \[
   13 - 4x = -11
   \]
   Subtract 13 from both sides:
   \[
   -4x = -11 - 13
   \]
   Simplifying the right side:
   \[
   -4x = -24
   \]

2. **Solve for \( x \):**
   Divide both sides by \(-4\):
   \[
   x = \frac{-24}{-4}
   \]
   Simplifying the fraction:
   \[
   x = 6
   \]

So, the solution is \( x = 6 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What happens if you change the equation to \( 13 - 4x = 0 \)?
2. How would you solve \( 13 - 4x = 11 \) instead?
3. Can you solve \( 13 - 2x = -11 \) using the same steps?
4. How would you verify that \( x = 6 \) is the correct solution?
5. What would the solution be if the equation were \( 3 - 4x = -11 \)?

**Tip:** Always check your solution by plugging the value of \( x \) back into the original equation to ensure it satisfies it.

Learn how to solve the linear equation 13 - 4x = -11 with a clear, step-by-step guide. This solution explains key algebraic concepts and properties of equality, suitable for students in Grades 6-8.

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