If 4x3 + 2P = 12 for what value of P, x = 6?

Answer: Option C

$$\begin{array}{rl}& \frac{4x}{3}+\text{2P}=12\\ & \left[x=6\left(\text{Given}\right)\right]\\ & \Rightarrow \frac{4\times 6}{3}+2\text{P}=12\\ & \Rightarrow 2\text{P}=12-8\\ & \Rightarrow \text{P}=\frac{4}{2}\\ & \Rightarrow \text{P}=2\end{array}$$