Let's solve the equation step by step:

The equation is:
\[
8 - 5x + 3x = 24
\]

1. Combine like terms (the terms involving \( x \)):
\[
8 - 2x = 24
\]

2. Subtract 8 from both sides to isolate the term with \( x \):
\[
-2x = 24 - 8
\]
\[
-2x = 16
\]

3. Divide both sides by -2 to solve for \( x \):
\[
x = \frac{16}{-2}
\]
\[
x = -8
\]

Thus, the solution is \( x = -8 \).

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

Here are 5 related questions:
1. How do you check if a solution is correct?
2. What happens if there are no solutions to an equation?
3. How do you solve equations with variables on both sides?
4. What is the difference between linear and quadratic equations?
5. Can equations have more than one solution?

**Tip:** Always check your solution by plugging it back into the original equation to verify it works.

Learn how to solve the linear equation 8 - 5x + 3x = 24 with a step-by-step solution. This guide covers essential algebraic concepts, including combining like terms and isolating variables, suitable for students in Grades 6-8.

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