The equation \( x + x = 2 \) can be simplified by combining the like terms on the left-hand side:

\[
x + x = 2x
\]

Now the equation becomes:

\[
2x = 2
\]

To solve for \( x \), divide both sides of the equation by 2:

\[
x = \frac{2}{2} = 1
\]

So, the solution is \( x = 1 \).

Would you like more details on this, or do you have any other questions?

Here are 5 related questions you might explore:
1. What happens if the equation was \( 3x + x = 8 \)?
2. How would you solve \( 2x + 3 = 7 \)?
3. What is the solution to \( 4x = 12 \)?
4. How do you solve an equation like \( 5x - 3 = 2x + 9 \)?
5. What happens when the equation has no solution, like \( x + 1 = x + 2 \)?

**Tip:** Always simplify the equation as much as possible before solving for the variable.

Learn how to solve the linear equation x + x = 2 by simplifying like terms and isolating the variable. This step-by-step guide explains key algebraic concepts and is suitable for students in Grades 6-8.

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