To solve the equation \( x = 3 - x \), we need to isolate \( x \) on one side of the equation. Here's the step-by-step solution:

1. Start with the given equation:
   \[ x = 3 - x \]

2. Add \( x \) to both sides of the equation to eliminate the \( -x \) on the right side:
   \[ x + x = 3 - x + x \]

3. This simplifies to:
   \[ 2x = 3 \]

4. Now, divide both sides by 2 to solve for \( x \):
   \[ x = \frac{3}{2} \]

5. So, the solution is:
   \[ x = 1.5 \]

Would you like a detailed explanation of any part of this solution?

Here are 8 follow-up questions to expand your understanding:

1. What if the equation was \( x = 5 - x \)? How would the solution change?
2. How would you solve the equation \( 2x = 5 - x \)?
3. If \( x \) represents a quantity, what does solving for \( x \) help us understand?
4. How does adding the same term to both sides of an equation help in solving it?
5. What if the equation had been \( x = 3 + x \)? What would be the solution?
6. Can you think of a real-life situation that this equation might represent?
7. What is the graphical representation of the equation \( x = 3 - x \)?
8. How would the solution change if the equation was \( 2x = 6 - x \)?

**Tip**: Always perform the same operation on both sides of an equation to maintain equality and solve it accurately.

Learn how to solve the equation x = 3 - x with a detailed step-by-step solution. This problem covers key algebraic concepts and equation solving techniques. Suitable for students in Grades 7-9.

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