To solve the equation \( 2x - 3 = x + 3 \), follow these steps:

1. **Move the terms involving \( x \)** to one side of the equation by subtracting \( x \) from both sides:

\[
2x - x - 3 = x - x + 3
\]

This simplifies to:

\[
x - 3 = 3
\]

2. **Isolate \( x \)** by adding 3 to both sides:

\[
x - 3 + 3 = 3 + 3
\]

This simplifies to:

\[
x = 6
\]

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

Would you like more details or have any questions?

Here are some related questions to explore:

1. What happens if you substitute \( x = 6 \) back into the original equation?
2. How would you solve the equation \( 3x - 4 = 2x + 5 \)?
3. What if the equation were \( 2x - 3 = 2x + 3 \)? What would be the solution?
4. How do you solve an equation like \( 2x - 3 = -x + 7 \)?
5. What is the general approach for solving linear equations?

**Tip:** Always double-check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation 2x - 3 = x + 3 step-by-step. This problem involves basic algebraic manipulation to isolate the variable x. Suitable for students in Grades 7-9.

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