\(x-\dfrac{1}{2}+\dfrac{2}{3}=\dfrac{3}{4}\\ x-\dfrac{1}{2}=\dfrac{3}{4}-\dfrac{2}{3}\\ x-\dfrac{1}{2}=\dfrac{1}{12}\\ x=\dfrac{1}{12}+\dfrac{1}{2}\\ x=\dfrac{7}{12}\)
\(x-\dfrac{1}{2}+\dfrac{2}{3}=\dfrac{3}{4}\)
\(x-\dfrac{1}{2}=\dfrac{3}{4}-\dfrac{2}{3}\)
\(x-\dfrac{1}{2}=\dfrac{1}{12}\)
\(x=\dfrac{1}{12}+\dfrac{1}{2}\)
\(x=\dfrac{7}{12}\)