To rewrite the equation \( y = 7x - 12 \) in terms of \( x \), we'll isolate \( x \) on one side of the equation.
Starting with: \[ y = 7x - 12 \]
Add 12 to both sides: \[ y + 12 = 7x \]
Now, divide both sides by 7: \[ x = \frac{y + 12}{7} \]
Thus, the equivalent equation in terms of \( x \) is: \[ x = \frac{(y + 12)}{7} \]
Among the provided options, the correct answer is: \[ x = \frac{(y + 12)}{7} \]