We are given the equation:

\[
-9 - 8x = -(3 + 5x)
\]

### Step 1: Simplify both sides of the equation
On the right side, distribute the negative sign:

\[
-9 - 8x = -3 - 5x
\]

### Step 2: Move the variable terms to one side
Add \(5x\) to both sides:

\[
-9 - 8x + 5x = -3 - 5x + 5x
\]
\[
-9 - 3x = -3
\]

### Step 3: Move the constant terms to one side
Add 9 to both sides:

\[
-9 + 9 - 3x = -3 + 9
\]
\[
-3x = 6
\]

### Step 4: Solve for \(x\)
Divide both sides by \(-3\):

\[
x = \frac{6}{-3} = -2
\]

### Final Answer:
\[
x = -2
\]

Would you like further details on any of the steps, or do you have any questions?

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Here are 5 related questions you might find interesting:
1. How would the solution change if the equation were \( -9 - 8x = -(3 + 6x) \)?
2. Can you solve \( -8x = -(3 + 5x) + 9 \)?
3. How do you solve equations involving fractions like \( \frac{3}{4}x - 9 = 6x - 3 \)?
4. What happens if you switch the variable terms and constant terms?
5. How can you check if your solution is correct?

**Tip**: When solving equations, always try to simplify both sides first by distributing and combining like terms.

Discover how to solve the linear equation -9 - 8x = -(3 + 5x) step by step. This solution covers the distributive property and methods to simplify and solve linear equations, suitable for students in Grades 6-8.

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