To solve the equation \( 8 = \frac{x}{9} + 6 \):

1. Subtract 6 from both sides:
   \[
   8 - 6 = \frac{x}{9}
   \]
   \[
   2 = \frac{x}{9}
   \]

2. Multiply both sides by 9 to isolate \(x\):
   \[
   2 \times 9 = x
   \]
   \[
   x = 18
   \]

The solution is \( x = 18 \).

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. What happens if the number on the left side of the equation changes?
2. How would you solve if the fraction was more complex, like \( \frac{x+2}{9} \)?
3. Can you solve an equation where \(x\) is in both terms, like \( 8 = \frac{x}{9} + x \)?
4. How do you solve an equation if it involves fractions on both sides?
5. What if there were more constants on both sides of the equation?

**Tip**: Always perform inverse operations to isolate the variable when solving linear equations.

Discover how to solve the linear equation 8 = x/9 + 6 with this step-by-step guide. This problem explores key algebraic concepts such as fractions and inverse operations, making it suitable for students in Grades 6-8.

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