The equation in the image is:

$6x - 2(x + 4) = 12$

Let's solve this step by step:

1. Distribute the $-2$ on the left-hand side: $6x - 2(x + 4) = 6x - 2x - 8$

2. Simplify the expression: $6x - 2x - 8 = 12 \implies 4x - 8 = 12$

3. Add 8 to both sides: $4x = 12 + 8 \implies 4x = 20$

4. Divide both sides by 4: $x = \frac{20}{4} = 5$

So, the value of $x$ is:

$x = 5$

Let me know if you'd like further details or have any questions!

Here are some related questions:

1. What happens if the constant on the right side was 20 instead of 12?
2. How would you solve $6x - 2(x - 4) = 12$?
3. What if there were fractions involved, such as $\frac{6x}{2} - 2(x + 4) = 12$?
4. How can you verify the solution by substituting $x = 5$ back into the original equation?
5. What are the different ways to solve this equation graphically?

Tip: Always simplify expressions step by step to avoid mistakes in distributing or combining terms.