Answer
$\displaystyle \frac{x-7}{3}$
Work Step by Step
To add rational expressions with the same denominator,
add numerators and place the sum over the common denominator.
If possible, factor and simplify the result.
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$\displaystyle \frac{x+4}{9}+\frac{2x-25}{9} = \displaystyle \frac{x+4+2x-25}{9}$
= $\displaystyle \frac{3x-21}{9}$
= $\displaystyle \frac{3(x-7)}{3(3)}\qquad$... reduce by 3
= $\displaystyle \frac{x-7}{3}$