Question

Solve for $x$:
$\frac{x-8}{3}=\frac{x-3}{5}$

Answer 1

Given

$\frac{x-8}{3}=\frac{x-3}{5}$

$\Rightarrow 5(x-8)=3(x-3)$

$\Rightarrow 5x-40=3x-9$

$\Rightarrow 5x-3x=-9+40$

$\Rightarrow 2x=31$

$\Rightarrow x=\frac{31}{2}$