[tex] \frac{x+3}{3}= \frac{y+2}{2}  [/tex]
We can separate the fraction on left hand side of the equation, by writing each term under the denominator separately as shown below:
[tex] \frac{x}{3}+ \frac{3}{3}= \frac{y+2}{2} \\  \\    
 \frac{x}{3}+ 1= \frac{y+2}{2} \\  \\    
\frac{x}{3}= \frac{y+2}{2}-1 \\  \\ 
\frac{x}{3}= \frac{y+2-2}{2} \\  \\ 
\frac{x}{3}= \frac{y}{2}
[/tex]
Therefore, x/3 is equal to y/2