#### Answer

The solution is 2

#### Work Step by Step

$\frac{x-3}{2}$=$\frac{x-5}{6}$
2(x-5)=6(x-3)
2x-10=6x-18
2x-6x=-18+10
-4x=-8
x=2
The solution is 2
Check
Let x=2
$\frac{x-3}{2}$=$\frac{x-5}{6}$
$\frac{2-3}{2}$=$\frac{2-5}{6}$
$\frac{-1}{2}$=$\frac{x-3}{6}$
$\frac{-1}{2}$=$\frac{-1}{2}$