To rewrite the equation \( y = 7x - 12 \) in terms of \( x \), we need to isolate \( x \).
Starting with the equation:
\[ y = 7x - 12 \]
- Add 12 to both sides:
\[ y + 12 = 7x \]
- Now, divide both sides by 7:
\[ x = \frac{y + 12}{7} \]
This means the equivalent equation in terms of \( x \) is:
\[ x = \frac{y + 12}{7} \]
Therefore, the correct answer is:
C \( x = \frac{y + 12}{7} \).