Let's solve the equation step by step:

The given equation is:
\[
-8 = -9x + 7x
\]

### Step 1: Combine like terms.
On the right-hand side, we can combine the terms involving \(x\):
\[
-8 = (-9x + 7x) = -2x
\]

### Step 2: Solve for \(x\).
Now, we have:
\[
-8 = -2x
\]

Divide both sides of the equation by \(-2\) to isolate \(x\):
\[
x = \frac{-8}{-2} = 4
\]

Thus, the solution is:
\[
x = 4
\]

Would you like further details or explanations on any step?

Here are 5 related questions:
1. What happens when we combine like terms with different signs?
2. How can you check the solution to an equation?
3. What would happen if the equation had no solution?
4. How do you solve equations with variables on both sides?
5. How would you solve this equation if it had a fraction?

**Tip:** Always simplify and combine like terms before attempting to solve for the variable.

Learn how to solve the linear equation −8 = −9x + 7x with a step-by-step breakdown. This problem demonstrates combining like terms and solving for the variable, suitable for students in Grades 6-8.

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