The equation given is:

$3x + 6y = 18$

We need to solve for $x$. Here’s the step-by-step process:

1. First, isolate the term with $x$ by subtracting $6y$ from both sides: $3x = 18 - 6y$

2. Next, solve for $x$ by dividing both sides by 3: $x = \frac{18 - 6y}{3}$

3. Simplify the right-hand side: $x = 6 - 2y$

Thus, the solution is $x = 6 - 2y$, which corresponds to Option B.

Let me know if you need any more details or have questions.

Here are 5 related questions for further practice:

1. How would the solution change if the equation were $4x + 6y = 24$?
2. Can you solve for $y$ instead of $x$ in the original equation?
3. What happens if the equation were $3x - 6y = 18$? How does the solution differ?
4. How would you graph the equation $3x + 6y = 18$ on a coordinate plane?
5. How can this type of linear equation be applied in real-life scenarios?

Tip: Always perform operations on both sides of the equation to maintain equality!