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

1. Subtract 6 from both sides to isolate the term with \(x\):
   \[
   8 - 6 = \frac{x}{9}
   \]
   \[
   2 = \frac{x}{9}
   \]

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

The solution is \(x = 18\).

Would you like more details or have any questions?

Here are five related questions:
1. Solve: \( 7 = \frac{x}{5} + 4 \).
2. Solve: \( 12 = \frac{y}{4} - 3 \).
3. What is the value of \(x\) in \( 10 = \frac{x}{2} + 3 \)?
4. If \( z = \frac{x}{7} - 5 \), and \( z = 3 \), what is \(x\)?
5. Solve: \( \frac{t}{8} + 9 = 15 \).

**Tip:** Always perform the same operation on both sides of an equation to keep it balanced.

Learn how to solve the linear equation 8 = x/9 + 6 with a detailed step-by-step explanation. This solution demonstrates key algebraic concepts and basic operations for isolating variables. Suitable for students in Grades 6-8.

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