$$i\frac{2x+10}{x+4x+3}\div\frac{x^{2}-3x-10}{(x+3)(x+-5)}\times\frac{x+1}{x+5}$$
$\frac{2i\left(x+1\right)\left(x+3\right)}{\left(x+2\right)\left(5x+3\right)}$
$\frac{2\left(ix^{2}+4ix+3i\right)}{\left(x+2\right)\left(5x+3\right)}$
