Answer
The statement is true.
Work Step by Step
To add/subtract rational expressions with the same denominator,
add/subtract numerators and place the sum/difference over the common denominator.
This expression equals
$\displaystyle \frac{2x+1+3x+1-(5x+2)}{x-7}=\frac{2x+1+3x+1-5x-2}{x-7}$
$=\displaystyle \frac{0}{x-7}=0$
The statement is true.