To solve the equation $2x = 2$:

1. Divide both sides of the equation by 2 to isolate $x$: $x = \frac{2}{2}$

2. Simplify: $x = 1$

Final Solution:

$x = 1$

Would you like additional details or have any questions? Here are related questions to explore:

1. What happens if we multiply or divide both sides of an equation by zero?
2. How do we solve linear equations with variables on both sides?
3. What are the steps to check the solution of a linear equation?
4. How can this equation be represented graphically?
5. How does this compare to solving $2x = -2$?

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