Simplify 3/((x+2)(x+3))+x/((x+2)(x+3))

$\frac{3}{(x + 2) (x + 3)} + \frac{x}{(x + 2) (x + 3)}$

Combine the numerators over the common denominator.

$\frac{3 + x}{(x + 2) (x + 3)}$

Cancel the common factor of $3 + x$ and $x + 3$ .

Reorder terms.

$\frac{x + 3}{(x + 2) (x + 3)}$

Cancel the common factor.

$\frac{x + 3}{(x + 2) (x + 3)}$

Rewrite the expression.

$\frac{1}{x + 2}$