\(\dfrac{x}{2}+\dfrac{3}{4}=\dfrac{6}{7}\\ \dfrac{x}{2}=\dfrac{6}{7}-\dfrac{3}{4}\\ \dfrac{x}{2}=\dfrac{3}{28}\\ \Leftrightarrow28x=6\\ \Leftrightarrow x=\dfrac{3}{14}\)
x/2 + 3/4 = 6/7
x/2 = 6/7 - 3/4
x/2 = 24/28 - 21/28
x/2 = 3/28
=> 28x = 6
x = 6 : 28
x = 3/14