Let's solve the equation:

\[
-2 = -10x - (9x + 2)
\]

### Step 1: Distribute the negative sign across the terms inside the parentheses.
\[
-2 = -10x - 9x - 2
\]

### Step 2: Combine like terms.
\[
-2 = -19x - 2
\]

### Step 3: Add 2 to both sides to isolate the term with \(x\).
\[
0 = -19x
\]

### Step 4: Solve for \(x\) by dividing both sides by \(-19\).
\[
x = 0
\]

So, the solution is \(x = 0\).

Would you like more details or have any questions?

Here are some related questions to consider:
1. How would the solution change if the equation were \( -2 = -10x - (9x - 2) \)?
2. What happens if we have \( -2 = 10x - (9x + 2) \)?
3. How can you verify that the solution \( x = 0 \) is correct?
4. What is the significance of combining like terms in solving equations?
5. Can you create a similar equation where \( x \) has a non-zero value?

**Tip:** Always check your solution by substituting the value back into the original equation.

Learn how to solve the equation -2 = -10x - (9x + 2) with a detailed step-by-step solution. This problem covers key algebraic concepts, including equations and combining like terms. Suitable for students in Grades 7-9.

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