To continue from where you left off, I'll first identify and analyze the steps you've taken so far from the image.

1. Starting Point: $x - \frac{1}{2} = \frac{3}{4} \div \frac{1}{8}$

2. Step 1: You've simplified the right-hand side: $x - \frac{1}{2} = \frac{3}{4} \times \frac{8}{1}$ This multiplication leads to: $x - \frac{1}{2} = 6$

3. Step 2: You added $\frac{1}{2}$ to both sides: $x = 6 + \frac{1}{2}$ Which simplifies to: $x = \frac{12}{2} + \frac{1}{2} = \frac{13}{2}$

So, the value of $x$ you found is: $x = \frac{13}{2}$

If you would like to proceed further with any specific problems or have additional questions, let me know!

Here are five related questions that might interest you:

1. How do you solve linear equations involving fractions?
2. Can you explain the process of multiplying fractions?
3. How do you convert a mixed number into an improper fraction?
4. What are the common methods for solving equations with variables on both sides?
5. How can you check if your solution to a linear equation is correct?

Tip: Always check your final answer by substituting it back into the original equation to ensure it satisfies the equation.