https://file.aiquickdraw.com/mathbot/file/1725742607249cch6rbrn.jpg

The given equation is:

\[
\frac{x}{8} = -6
\]

### Step 1: Use the multiplication principle
To solve for \( x \), multiply both sides of the equation by 8 to eliminate the denominator.

\[
x = -6 \times 8
\]

\[
x = -48
\]

### Step 2: Perform a check
To check the solution, substitute \( x = -48 \) back into the original equation:

\[
\frac{-48}{8} = -6
\]

Since the left-hand side equals the right-hand side, the solution is correct.

Thus, the solution is:

\[
x = -48
\]

Would you like more details on this solution, or do you have any questions?

### Related questions:
1. How would you solve an equation with a different denominator, say \(\frac{x}{5} = -10\)?
2. What happens when the variable is in the numerator and denominator?
3. How does the multiplication principle apply to inequalities?
4. What if the equation had decimals instead of fractions?
5. How do you solve a system of equations using multiplication and addition principles?

### Tip:
When using the multiplication principle, always multiply both sides of the equation by the same value to maintain equality.

Solve using the multiplication principle: x / 8 = -6. Don't forget to perform a check.

This page explains how to solve the linear equation x / 8 = -6 by applying the multiplication principle. Step-by-step solution provided along with a check to verify the solution. Suitable for students in Grades 6-8.

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