\(\Leftrightarrow\left(x-\dfrac{1}{2}\right)\times\dfrac{5}{3}=\dfrac{5}{4}\)
\(\Leftrightarrow x-\dfrac{1}{2}=\dfrac{5}{4}:\dfrac{5}{3}\)
\(\Leftrightarrow x=\dfrac{3}{4}+\dfrac{1}{2}=\dfrac{5}{4}\)
\(\left(x-\dfrac{1}{2}\right)\times\dfrac{5}{3}=\dfrac{7}{4}-\dfrac{1}{2}\\ \Rightarrow\left(x-\dfrac{1}{2}\right)\times\dfrac{5}{3}=\dfrac{5}{4}\\ \Rightarrow x-\dfrac{1}{2}=\dfrac{5}{4}:\dfrac{5}{3}\\ \Rightarrow x-\dfrac{1}{2}=\dfrac{3}{4}\\ \Rightarrow x=\dfrac{3}{4}+\dfrac{1}{2}\\ \Rightarrow x=\dfrac{5}{4}\)