Answer
$\displaystyle \frac{10x+7}{x-4}$
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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$\displaystyle \frac{x}{x-4}+\frac{9x+7}{x-4} = \displaystyle \frac{x+9x+7}{x-4}$
$= \displaystyle \frac{10x+7}{x-4}\qquad$... no common factors to reduce by
