The equation provided in the image is:

$2(x - 4) + 2 = 18$

Let's solve this step by step.

Step 1: Distribute the 2

Distribute the 2 across the terms inside the parentheses:

$2 \cdot x - 2 \cdot 4 + 2 = 18$

This simplifies to:

$2x - 8 + 2 = 18$

Step 2: Combine like terms

Combine the constant terms on the left side:

$2x - 6 = 18$

Step 3: Isolate the variable term

Add 6 to both sides of the equation to isolate the term with $x$:

$2x = 24$

Step 4: Solve for $x$

Divide both sides by 2 to solve for $x$:

$x = 12$

Final Answer

The solution to the equation is:

$x = 12$

Would you like more details or have any questions about this solution? Here are some related questions:

1. How would the solution change if the equation were $2(x + 4) + 2 = 18$?
2. What if the equation was $2(x - 4) - 2 = 18$?
3. Can you solve an equation like $3(x - 5) + 7 = 25$?
4. How would you solve $4(x - 3) + 10 = 30$?
5. What is the general approach to solving equations with parentheses?

Tip: Always simplify the equation as much as possible before isolating the variable. This helps to avoid mistakes and makes solving easier.