Question

Solve the equation. Check your answer.
minusxminus2equals9
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Part 1
xequals
  
enter your response here ​(Simplify your​ answer.)

Answer 1

To solve the equation \(-x - 2 = 9\), we can start by isolating \(x\). Here are the steps:

1. First, add 2 to both sides of the equation:
\[
-x - 2 + 2 = 9 + 2
\]
This simplifies to:
\[
-x = 11
\]

2. Next, multiply both sides by -1 to solve for \(x\):
\[
x = -11
\]

So, the solution is:
\[
x = -11
\]

**Checking the solution:**

Substitute \(x = -11\) back into the original equation:
\[
-x - 2 = 9
\]
Substituting \(x\):
\[
-(-11) - 2 = 9
\]
This simplifies to:
\[
11 - 2 = 9
\]
\[
9 = 9
\]

Since both sides of the equation are equal, our solution \(x = -11\) is correct.

Final answer:
\[
\boxed{-11}
\]