Final Answer:
The solution to the given problem is x = 4.

Explanation:

To solve the equation x - 2 = 2, we need to isolate x on one side of the equation. First, we add 2 to both sides of the equation to cancel out the -2 term, leaving us with x = 4. The solution is therefore x = 4.

This can be illustrated as follows:
x - 2 + 2 = 2 + 2
x = 4

So, the value of x that satisfies the equation is 4. This means that when we substitute x = 4 back into the original equation, we get:
4 - 2 = 2

Which simplifies to:
2 = 2

Thus, the solution x = 4 satisfies the equation x - 2 = 2.