\(\Leftrightarrow\dfrac{11x+2}{18}-x=\dfrac{x+78}{60}-2\)
\(\Leftrightarrow\dfrac{11x}{18}+\dfrac{2}{18}-x=\dfrac{x}{60}+\dfrac{78}{60}-2\)
\(\Leftrightarrow\dfrac{11}{18}x-x-\dfrac{1}{60}x=\dfrac{78}{60}-\dfrac{1}{9}-2\)
\(\Leftrightarrow-\dfrac{73}{180}x=-\dfrac{73}{90}\)
\(\Rightarrow x=2\)