To solve the equation \(-x = 9\), we need to isolate \(x\). Here's the step-by-step process:

\[
-x = 9
\]

To eliminate the negative sign in front of \(x\), multiply both sides of the equation by \(-1\):

\[
-x \times (-1) = 9 \times (-1)
\]

This simplifies to:

\[
x = -9
\]

So, the solution is \(x = -9\).

Would you like more details or have any further questions?

Here are five related questions you might explore:
1. What happens if you solve \(x - 5 = -9\)?
2. How do you solve equations with fractions, like \(\frac{-x}{2} = 9\)?
3. What if you solve the equation \(-3x = 9\)?
4. How do you solve absolute value equations, such as \(|-x| = 9\)?
5. What is the process for solving quadratic equations like \(x^2 = 9\)?

**Tip**: Always check your solution by plugging the value of \(x\) back into the original equation to verify its correctness.

Discover how to solve the linear equation -x = 9 with a step-by-step explanation. This problem highlights key algebraic concepts and the application of the properties of equality. Ideal for students in Grades 6-8.

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