Answer
The domain is all real numbers except $x\ne-\frac{5}{2}$.
Work Step by Step
Any restriction on the domain occurs when any value of $x$ results in an undefined fraction. To determine what value of $x$ will result in a $0$ (creating an undefined fraction), place the expression in the denominator equal to zero:
$2x+5=0$ and solve.
$2x=-5$
$x=-\frac{5}{2}$
Thus, $x\ne-\frac{5}{2}$ is the restriction for the domain.