\(x.\left(\dfrac{1}{4}+\dfrac{1}{5}\right)-\left(\dfrac{1}{7}+\dfrac{1}{8}\right)=0\\ \Rightarrow x.\left(\dfrac{5}{20}+\dfrac{4}{20}\right)-\left(\dfrac{8}{56}+\dfrac{7}{56}\right)=0\\ \Rightarrow x.\dfrac{9}{20}-\dfrac{15}{56}=0\\ \Rightarrow x.\dfrac{9}{20}=\dfrac{15}{16}\\ \Rightarrow x=\dfrac{15}{16}:\dfrac{9}{20}\\ \Rightarrow x=\dfrac{25}{12}\)