` (\frac{x}{x^2-25}-\frac{x-5}{x^2+5x}):\frac{2x-5}{x^2+5x}+\frac{x}{5-x} `
`=[\frac{x}{(x-5)(x+5)}-\frac{(x-5)}{x(x+5)}]:\frac{(2x-5)}{x(x+5)}+\frac{x}{5-x} `
` =[\frac{x^2}{x(x-5)(x+5)}-\frac{(x-5)^2}{x(x-5)(x+5)}]:\frac{(2x-5)}{x(x+5)}+\frac{x}{5-x} `
` =[\frac{x^2-x^2+10x-2}{x(x-5)(x+5)}]:\frac{(2x-5)}{x(x+5)}+\frac{x}{5-x} `
` =\frac{5(2x-5)}{x(x-5)(x+5)} . \frac{x(x+5)}{(2x-5)}+\frac{x}{5-x} `
` =\frac{5}{x-5} - \frac{x}{x-5} `
` =\frac{5-x}{x-5} `
