Let's solve the equation step by step:

Given:

$12 - 4x = 2x$

Step 1: Move all the terms involving $x$ to one side of the equation.

To do this, add $4x$ to both sides:

$12 = 2x + 4x$

$12 = 6x$

Step 2: Solve for $x$.

Now, divide both sides of the equation by 6:

$x = \frac{12}{6}$

$x = 2$

Final Answer:

$x = 2$

---

Would you like further details on the solution process or have any questions?

Here are some related questions for you:

1. What happens if we multiply both sides of an equation by a constant instead of adding or subtracting?
2. How do you solve equations with multiple variables?
3. What is the concept of isolating a variable in an equation?
4. How can you verify your solution to an algebraic equation?
5. What is the difference between linear and nonlinear equations?

Tip: Always remember to perform the same operation on both sides of an equation to maintain its balance!