To solve this equation, you'll need to find a common denominator for the fractions. In this case, the common denominator is 4.
1/2 (x+4) can be rewritten as 2/4 (x+4), and 1/4 (4x-2) remains the same.
Now, you can combine the fractions:
2/4 (x+4) + 1/4 (4x-2)
= (2x + 8)/4 + (4x - 2)/4
= (2x + 4x + 8 - 2)/4
= (6x + 6)/4
To put this answer in mixed number form, divide the numerator by the denominator:
(6x + 6)/4 = 6/4 * x + 6/4
= 3/2 * x + 3/2
Therefore, the answer in mixed number form is 3/2x + 3/2.