#### Answer

The solution is 6

#### Work Step by Step

$\frac{x}{4}$=$\frac{x+3}{6}$
6x=4(x+3)
6x=4x+12
6x-4x=12
2x=12
x=6
The solution is 6
Check
Let x=6
$\frac{x}{4}$=$\frac{x+3}{6}$
$\frac{6}{4}$=$\frac{6+3}{6}$
$\frac{3}{2}$=$\frac{9}{6}$
$\frac{3}{2}$=$\frac{3}{2}$