To solve the equation $\frac{1}{2}x - 4 = 2$, follow these steps:

Step 1: Isolate the term with $x$

Add 4 to both sides to remove the constant on the left-hand side: $\frac{1}{2}x = 2 + 4$ $\frac{1}{2}x = 6$

Step 2: Eliminate the fraction

Multiply both sides of the equation by 2 to eliminate the fraction: $x = 6 \times 2$ $x = 12$

Thus, the solution to the equation is $x = 12$.

Would you like further details or clarification on any step? Here are some related questions to explore further:

1. How would you solve $\frac{1}{3}x - 5 = 4$?
2. What happens if the equation was $\frac{1}{2}x - 4 = -2$?
3. How do you solve an equation with a variable on both sides, like $2x - 4 = x + 2$?
4. Can you explain the steps involved in solving a quadratic equation, such as $x^2 - 4x - 5 = 0$?
5. What is the difference between solving linear equations and solving systems of equations?

Tip: Always aim to isolate the variable first, by using inverse operations like addition, subtraction, multiplication, or division.