To solve the equation:

\[
(2x - 7) - (x - 5) = 0
\]

### Step 1: Simplify the equation.
First, distribute the negative sign through the second parentheses:

\[
2x - 7 - x + 5 = 0
\]

### Step 2: Combine like terms.
Now, combine the terms involving \(x\) and the constants:

\[
(2x - x) + (-7 + 5) = 0
\]

This simplifies to:

\[
x - 2 = 0
\]

### Step 3: Solve for \(x\).
To isolate \(x\), add 2 to both sides:

\[
x = 2
\]

Thus, the solution is:

\[
x = 2
\]

Would you like further details or explanations on any step?

### Related Questions:
1. What happens if we had a coefficient in front of both expressions?
2. How do you solve similar equations with variables on both sides?
3. What if there were multiple terms with \(x\) in parentheses?
4. Can this be solved graphically by plotting both sides of the equation?
5. How do we handle equations with fractions?

**Tip:** Always simplify expressions inside parentheses and distribute negatives carefully to avoid errors.

Learn how to solve the linear equation (2x - 7) - (x - 5) = 0 with a detailed step-by-step solution. This problem covers essential algebra concepts, including simplification using the distributive property and combining like terms. Suitable for students in Grades 6-8.

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