To find $x$ in terms of $y$ from the equation $14x - 8y + 5 = 2x + 4y - 7$, follow these steps:

1. Start by simplifying the equation: Move all terms involving $x$ to one side and all terms involving $y$ to the other side. $14x - 2x = 4y + 8y - 7 - 5$ Simplifying gives: $12x = 12y - 12$

2. Isolate $x$: Divide both sides by 12. $x = y - 1$

So, $x$ in terms of $y$ is: $x = y - 1$

Would you like more details or have any questions about this solution?

Here are 5 follow-up questions related to this topic:

1. How would you solve if the equation had a quadratic term?
2. What if $y$ was also unknown and you had to solve a system of equations?
3. How can you check if your solution is correct?
4. What if the equation was a fraction instead of a linear equation?
5. How does this change if the coefficients were in decimal form?

Tip: Always simplify the equation as much as possible before solving for a variable.