We are given the equation:

$7x - y = 14$

We need to solve for $x$.

Step 1: Isolate $7x$

Add $y$ to both sides of the equation: $7x = y + 14$

Step 2: Solve for $x$

Divide both sides by 7: $x = \frac{y + 14}{7}$ Simplify: $x = \frac{y}{7} + 2$

So, the correct solution is:

$x = 2 + \frac{y}{7}$

This corresponds to the last option in the provided multiple choice answers.

Do you want further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How would the solution change if the equation were $7x - y = 20$?
2. What if the coefficient of $x$ was different, such as $6x - y = 14$?
3. Can you solve this for $y$ in terms of $x$?
4. How would this method work if the equation was $7x + y = 14$ instead?
5. What is the graphical representation of this equation?

Tip: Always ensure you isolate the term you are solving for before performing operations such as division.