\(\Leftrightarrow\frac{6x+10}{3}-\frac{x}{2}+\frac{3x+3}{4}-5=0\)
\(\Leftrightarrow\frac{4\left(6x+10\right)}{12}-\frac{6x}{12}+\frac{3\left(3x+3\right)}{12}-\frac{60}{12}=0\)
\(\Rightarrow24x+40-6x+9x+9-60=0\)
\(\Leftrightarrow27x-11=0\Leftrightarrow x=\frac{11}{27}\)