To solve the equation \( 2x - 5 = x + 7 \), follow these steps:

1. **Move all terms involving \( x \) to one side of the equation**:
   Subtract \( x \) from both sides:
   \[
   2x - 5 - x = x + 7 - x
   \]
   Simplifying both sides gives:
   \[
   x - 5 = 7
   \]

2. **Isolate the variable \( x \)**:
   Add 5 to both sides to remove the constant on the left:
   \[
   x - 5 + 5 = 7 + 5
   \]
   Simplifying:
   \[
   x = 12
   \]

The solution is \( x = 12 \).

Would you like a deeper explanation, or do you have any questions about this process?

Here are 5 related questions for practice:
1. Solve \( 3x + 4 = 2x + 10 \).
2. Solve \( 5x - 8 = 3x + 4 \).
3. Solve \( 4x + 7 = 2x - 1 \).
4. Solve \( 6x - 3 = 4x + 9 \).
5. Solve \( 7x + 2 = 5x + 14 \).

**Tip:** Always combine like terms first to simplify equations before isolating the variable.

Learn how to solve the linear equation 2x - 5 = x + 7 with a step-by-step solution. This problem covers fundamental algebraic concepts, including isolating the variable and simplifying both sides of the equation. Suitable for students in Grades 6-8.

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