If `(4x)/(3) + 2P=12` for what value of P, x = 6 ?

Options

A. 6
B. 4
C. 2
D. 1

Answer

To solve the equation \( \frac{4x}{3} + 2P = 12 \) for the value of \( P \) when \( x = 6 \), follow these steps:

### Step 1: Substitute the value of \( x \)
We have the equation:
\[ \frac{4x}{3} + 2P = 12 \]
Substituting \( x = 6 \):
\[ \frac{4(6)}{3} + 2P = 12 \]

### Step 2: Calculate \( \frac{4(6)}{3} \)
Calculating the left side:
\[ \frac{24}{3} + 2P = 12 \]
This simplifies to:
\[ 8 + 2P = 12 \]

### Step 3: Isolate \( 2P \)
To isolate \( 2P \), subtract 8 from both sides:
\[ 2P = 12 - 8 \]
This gives us:
\[ 2P = 4 \]

### Step 4: Solve for \( P \)
Now, divide both sides by 2 to find \( P \):
\[ P = \frac{4}{2} \]
Thus:
\[ P = 2 \]

### Final Answer
The value of \( P \) when \( x = 6 \) is:
\[ \boxed{2} \]