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.

Learn how to solve a linear equation to find x in terms of y with step-by-step instructions. This problem involves isolating variables and basic algebraic manipulations. Suitable for students in Grades 7-9.

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