Let's solve the equation step by step:

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

### Step 1: Distribute the negative sign
Apply the negative sign to the second term:
\[
2x + 7 - x + 5 = 0
\]

### Step 2: Combine like terms
Now, group the \(x\) terms and the constant terms:
\[
(2x - x) + (7 + 5) = 0
\]
\[
x + 12 = 0
\]

### Step 3: Solve for \(x\)
Subtract 12 from both sides:
\[
x = -12
\]

Thus, the solution is:
\[
x = -12
\]

Do you want more details or have any questions?

Here are 5 related questions for further practice:
1. Solve \(3x + 4 - (x + 2) = 0\).
2. Solve \(5x - (2x + 7) = 4\).
3. What is the solution to \(x - 3(x + 2) = 0\)?
4. Simplify and solve \((x + 6) - (2x - 4) = 5\).
5. Solve for \(x\): \(4(x + 2) - 2(x - 3) = 12\).

**Tip:** When you see parentheses in an equation, always distribute any negative signs or factors carefully before simplifying.

Learn how to solve the linear equation (2x + 7) - (x - 5) = 0 with a detailed step-by-step explanation. This problem involves algebraic concepts like simplifying expressions and using the distributive property. Suitable for students in Grades 6-8.

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