Question

\(3-\dfrac{x}{2}=\dfrac{3}{2}-1\dfrac{5}{6}\)

Answer 1

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\(3-\dfrac{x}{2}=\dfrac{3}{2}-1\dfrac{5}{6}\\ \Rightarrow3-x\times\dfrac{1}{2}=\dfrac{3}{2}-\dfrac{11}{6}\\ \Rightarrow3-x\times\dfrac{1}{2}=\dfrac{9}{6}-\dfrac{11}{6}\\ \Rightarrow3-x\times\dfrac{1}{2}=-\dfrac{2}{6}=-\dfrac{1}{3}\\ \Rightarrow x\times\dfrac{1}{2}=3-\left(-\dfrac{1}{3}\right)\\ \Rightarrow x\times\dfrac{1}{2}=\dfrac{9}{3}+\dfrac{1}{3}\\ \Rightarrow x\times\dfrac{1}{2}=\dfrac{10}{3}\\ \Rightarrow x=\dfrac{10}{3}:\dfrac{1}{2}\\ \Rightarrow x=\dfrac{10}{3}\times2\\ \Rightarrow x=\dfrac{20}{3}\)