To solve the equation \( \frac{8}{3}x - 7 = 9 \), follow these steps:

### Step 1: Isolate the term with \( x \)
Add 7 to both sides of the equation:
\[
\frac{8}{3}x = 9 + 7
\]
\[
\frac{8}{3}x = 16
\]

### Step 2: Solve for \( x \)
Multiply both sides of the equation by the reciprocal of \( \frac{8}{3} \), which is \( \frac{3}{8} \):
\[
x = 16 \times \frac{3}{8}
\]
Simplify:
\[
x = \frac{16 \times 3}{8} = \frac{48}{8} = 6
\]

### Final Answer:
\[
x = 6
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you solve linear equations with fractions?
2. What happens if the variable is in the denominator?
3. How can you check the solution of an equation?
4. How do you handle equations with variables on both sides?
5. What if the equation has more than one variable?

**Tip:** Always perform the same operation on both sides of an equation to maintain equality.

Learn how to solve the linear equation 8/3x - 7 = 9 with a step-by-step guide. This example covers key algebraic concepts such as isolating variables, working with fractions, and solving linear equations. Ideal for students in Grades 6-8.

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