Question

Solve : $\frac{2x+7}{5}-\frac{3x+11}{2}=\frac{2x+8}{3}-5$

Answer 1

${\frac{2x+7}{5}}^{12}-{\frac{3x+11}{2}}^{15}=\frac{2x+8}{3}=5$

$\frac{4x+14-15x-55}{10}=\frac{2x+8-15}{3}$

$\Rightarrow 3(-11x-41)=10(2x-7)$

$\Rightarrow -33x-123=20x-70$

$\Rightarrow -123+70=20x+33x$

$x=\frac{-53}{53}=-1$

$x=-1$.