Solve:
$\frac{2 x+7}{5}-\frac{3 x+11}{2}=\frac{2 x+8}{3}-5$
$\frac{2 x+7}{5}-\frac{3 x+11}{2}=\frac{2 x+8}{3}-5$
$\Rightarrow \frac{2 x+7}{5}-\frac{3 x+11}{2}=\frac{2 x+8-15}{3} \quad($ L.C.M. of 3 and 1 is 3$)$
$\Rightarrow 30\left(\frac{2 x+7}{5}\right)-30\left(\frac{3 x+11}{2}\right)=30\left(\frac{2 x+8-15}{3}\right) \quad$ (multiplyin $g$ throughout by 30, which is the L. C.M. of 5,2 and 3$)$
$\Rightarrow 6(2 x+7)-15(3 x+11)=10(2 x+8-15)$
$\Rightarrow 12 x+42-45 x-165=20 x-70$
$\Rightarrow 12 x-45 x+42-165=$$20 x-70$
$\Rightarrow-33 x-123=20 x-70$
$\Rightarrow-33 x-20 x=123-70$
$\Rightarrow-53 x=53$
$\Rightarrow x=\frac{53}{-53}$
$\Rightarrow x=-1$
$\therefore x=-1$
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