\(\dfrac{1}{2}\div x+\dfrac{1}{4}\div x+\dfrac{1}{8}\div x=\dfrac{3}{7}\)
\(\left(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}\right)\div x=\dfrac{3}{7}\)
\(\dfrac{7}{8}\div x=\dfrac{3}{7}\)
\(x=\dfrac{49}{24}\)
\(\dfrac{1}{2}\): \(x\) + \(\dfrac{1}{4}\): \(x\) + \(\dfrac{1}{8}\): \(x\) = \(\dfrac{3}{7}\)
(\(\dfrac{1}{2}\) + \(\dfrac{1}{4}\) + \(\dfrac{1}{8}\)):\(x\) = \(\dfrac{3}{7}\)
(\(\dfrac{4}{8}\)+ \(\dfrac{2}{8}\) + \(\dfrac{1}{8}\)): \(x\) = \(\dfrac{3}{7}\)
\(\dfrac{7}{8}\) : \(x\) = \(\dfrac{3}{7}\)
\(x\) = \(\dfrac{7}{8}\) : \(\dfrac{3}{7}\)
\(x\) = \(\dfrac{49}{24}\)
\(\dfrac{1}{2}:x+\dfrac{1}{4}:x+\dfrac{1}{8}:x=\dfrac{3}{7}\)
\(\Rightarrow\dfrac{1}{2}\cdot\dfrac{1}{x}+\dfrac{1}{4}\cdot\dfrac{1}{x}+\dfrac{1}{8}\cdot x=\dfrac{3}{7}\)
\(\Rightarrow\dfrac{1}{x}\cdot\left(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}\right)=\dfrac{3}{7}\)
\(\Rightarrow\dfrac{1}{x}\cdot\dfrac{7}{8}=\dfrac{3}{7}\)
\(\Rightarrow\dfrac{1}{x}=\dfrac{3}{7}:\dfrac{7}{8}\)
\(\Rightarrow\dfrac{1}{x}=\dfrac{24}{49}\)
\(\Rightarrow x=1:\dfrac{24}{49}\)
\(\Rightarrow x=\dfrac{49}{24}\)