Answer :

Is that a mixed number 5 and 1/3 at the end? 
If so, we have: 
(1/4)(3x - 16) + (1/4)x = 16/3 
If we multiply everything by 12, the LCD, we can get rid of the fractions. 
This gives us: 
3(3x - 16) + 3x = 4(16) 9x - 48 + 3x = 64 12x = 112 x = 28/3