Question

The solution for the equation $\frac{x+5}{5x+8}=\frac{11}{38}$ is ___.

Answer 1

We have, $\frac{x+5}{5x+8}=\frac{11}{38}$

$\Rightarrow 38(x+5)=11(5x+8)$

$\Rightarrow 38x+190=55x+88$

$\Rightarrow 190-88=55x-38x$

$\Rightarrow 17x=102$

$\therefore x=\frac{102}{17}=6$

Hence, the solution of the given equation is $6.$