Answer
$$\frac{-5(x+6)}{2x(x-3)}$$
Work Step by Step
Simplifying by creating common denominators: $$ \frac{4}{3-x}-\frac{7}{2x-6}+\frac{5}{x} \\ \frac{-8}{2x-6}-\frac{7}{2x-6}+\frac{5}{x}\\ -\frac{15}{2x-6}+\frac{5}{x} \\ -\frac{15x}{x(2x-6)}+\frac{10x-30}{x(2x-6)} \\ \frac{-5(x+6)}{2x(x-3)}$$
