To solve the equation \( x - (11 - x) - 1 = 0 \), follow these steps:

### Step 1: Simplify the equation
Distribute the negative sign inside the parentheses:

\[
x - 11 + x - 1 = 0
\]

Combine like terms:

\[
2x - 12 = 0
\]

### Step 2: Solve for \( x \)
Add 12 to both sides:

\[
2x = 12
\]

Now, divide by 2:

\[
x = 6
\]

### Final Answer:
\[
x = 6
\]

Would you like any further explanation or have any questions?

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### Related Questions:
1. How can you check if your solution to an equation is correct?
2. How would you solve the equation if it had a different constant instead of 11?
3. What does it mean to "simplify" an equation?
4. How do parentheses affect the operations in an equation?
5. Can you solve an equation using different methods? For example, substitution vs. elimination.

### Tip:
Always simplify the equation as much as possible before trying to isolate the variable. This reduces the chances of making a mistake.

Learn how to solve the equation x - (11 - x) - 1 = 0 with a detailed step-by-step solution. This problem involves simplifying expressions, combining like terms, and solving linear equations. Suitable for students in Grades 7-9.

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