To solve the equation \( 3x = 24 - 5x \):

1. Start by getting all the terms with \( x \) on one side of the equation. Add \( 5x \) to both sides:
   \[
   3x + 5x = 24
   \]
   This simplifies to:
   \[
   8x = 24
   \]

2. Now, solve for \( x \) by dividing both sides of the equation by 8:
   \[
   x = \frac{24}{8} = 3
   \]

So, the solution is \( x = 3 \).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What happens if the constant on the right side changes?
2. How can you check if your solution is correct?
3. What if there were more terms involving \( x \) on both sides?
4. How would you solve this equation if decimals or fractions were involved?
5. Can you solve a similar equation with a negative coefficient for \( x \)?

**Tip**: When solving linear equations, always aim to isolate the variable on one side to make solving easier!

This page provides a step-by-step guide on how to solve the linear equation 3x = 24 - 5x. The solution demonstrates how to isolate the variable and apply basic algebraic principles. Ideal for students in Grades 6-8.

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