Question

[(x+1/2) .3/4+ 5 ] : 2 =3

Answer 1

[(x+1/2).3/4 + 5] : 2 = 3

(x+1/2) .3/4 + 5 = 3.2 = 6

(x+1/2) .3/4 = 6 - 5 = 1

x+1/2 = 1 : 3/4 = 4/3

x = 4/3 - 1/2 = 8/6 - 3/6 = 5/6

Answer 2

[\(\left(x+\dfrac{1}{2}\right)\cdot\dfrac{3}{4}+5\text{ ] }:2=3\) 

[\(\left(x+\dfrac{1}{2}\right)\cdot\dfrac{3}{4}+5\) ]  \(=3\cdot2\)

\(\left(x+\dfrac{1}{2}\right)\cdot\dfrac{3}{4}+5\)   \(=6\)

\(\left(x+\dfrac{1}{2}\right)\cdot\dfrac{3}{4}=6-5\)

\(\left(x+\dfrac{1}{2}\right)\cdot\dfrac{3}{4}=1\)

\(x+\dfrac{1}{2}=1:\dfrac{3}{4}\)

\(x+\dfrac{1}{2}=\dfrac{4}{3}\)

\(x=\dfrac{4}{3}-\dfrac{1}{2}\)

\(x=\dfrac{5}{6}\)