Let's solve the equation to check if \( x = -7 \) is correct.

The given equation is:

\[
2x + 7 = x
\]

1. Subtract \( x \) from both sides of the equation:

\[
2x - x + 7 = x - x
\]

This simplifies to:

\[
x + 7 = 0
\]

2. Subtract 7 from both sides:

\[
x = -7
\]

So, \( x = -7 \) is indeed correct.

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

Here are 5 related questions for further exploration:
1. How would the solution change if the equation was \( 3x + 7 = x \)?
2. What happens if we replace 7 with another number, say 5, in the equation \( 2x + 5 = x \)?
3. Can you solve \( 4x + 9 = 2x \)?
4. What does the solution represent graphically?
5. How do you solve equations with variables on both sides involving fractions?

**Tip:** Always double-check your solution by substituting the value of \( x \) back into the original equation to verify your answer.

Learn how to solve the linear equation 2x + 7 = x with a detailed step-by-step solution. This problem covers basic algebraic concepts, including solving linear equations. Suitable for students in Grades 6-8.

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