Add 1/2(x+4)+ 1/4(4x_2)

Answer 1

To simplify the expression \( \frac{1}{2}(x+4) + \frac{1}{4}(4x_2) \), we can follow these steps:

1. Distribute the coefficients in each term:

   • For \( \frac{1}{2}(x+4) \): \[ \frac{1}{2}x + \frac{1}{2} \cdot 4 = \frac{1}{2}x + 2 \]

   • For \( \frac{1}{4}(4x_2) \): \[ \frac{1}{4} \cdot 4x_2 = x_2 \]

2. Combine the results from both parts:

   \[ \frac{1}{2}x + 2 + x_2 \]

So, the simplified expression is:

\[ \frac{1}{2}x + x_2 + 2 \]