https://file.aiquickdraw.com/mathbot/file/17267486411676h989jcz.jpg

The equation from the image is:

\[
13 - x = -8 + 5(1 - x)
\]

### Let's solve it step by step:

1. Distribute the 5 on the right-hand side:
   \[
   13 - x = -8 + 5 - 5x
   \]

2. Simplify the right-hand side:
   \[
   13 - x = -3 - 5x
   \]

3. Move all terms involving \( x \) to one side and constants to the other. First, add \( 5x \) to both sides:
   \[
   13 + 4x = -3
   \]

4. Subtract 13 from both sides:
   \[
   4x = -16
   \]

5. Divide both sides by 4:
   \[
   x = -4
   \]

Thus, the solution is:
\[
x = -4
\]

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

### Related Questions:
1. How would you solve a similar equation but with different constants?
2. What happens if we introduce fractions in this type of equation?
3. Can you verify the solution by substituting \( x = -4 \) back into the original equation?
4. How would you solve this equation graphically by plotting?
5. What are the implications of negative values for \( x \) in real-life applications?

### Tip:
When solving linear equations, always simplify both sides as much as possible before moving variables to one side.

Learn how to solve the linear equation 13 - x = -8 + 5(1 - x) using step-by-step methods. This problem focuses on the distributive property and rearranging terms to isolate variables, making it suitable for students in Grades 7-9.

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