We are given the equation:

\[
\frac{x}{8} = \frac{x}{9} - 6
\]

Let's solve for \( x \).

### Step 1: Eliminate the fractions by multiplying through by the least common denominator (LCD) of 8 and 9, which is 72.

Multiplying the entire equation by 72 gives:

\[
72 \cdot \frac{x}{8} = 72 \cdot \left( \frac{x}{9} - 6 \right)
\]

### Step 2: Distribute the multiplication:

\[
9x = 8x - 432
\]

### Step 3: Move all terms involving \( x \) to one side of the equation:

\[
9x - 8x = -432
\]

\[
x = -432
\]

### Final Answer:

\[
x = -432
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the least common denominator of two fractions?
2. What happens when both sides of an equation contain fractions?
3. How can you solve equations with multiple fractions?
4. Why is it important to isolate the variable when solving an equation?
5. What are some real-life applications of solving equations like this one?

**Tip:** When working with equations involving fractions, clearing the fractions early on can simplify the process significantly!

Learn how to solve the equation x/8 = x/9 - 6 step-by-step with a detailed explanation. This problem involves equations with fractions, suitable for students in Grades 7-9.

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