explain

1/2(x/4-2/3)=5/4      multiply both sides by 4

2(x/4 - 2/3)  = 5       distribute the 2 over the terms in the parentheses

(2/4)x - 4/3  = 5

(1/2)x - 4/3  = 5         multiply through by 6

3x - 8  = 30        add 8 to both sides

3x = 38          divide both sides by 3

x = 38/3