Solve =5/x+5-5/2*5

$$= \frac { 5 } { x + 5 } - \frac { 5 } { 2 \cdot 5 }$$

Evaluate

$$\frac{5-x}{2\left(x+5\right)}$$

Short Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{5}{x+5}-\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{x+5}-\frac{1}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+5 and 2 is 2\left(x+5\right). Multiply \frac{5}{x+5} times \frac{2}{2}. Multiply \frac{1}{2} times \frac{x+5}{x+5}.

$$\frac{5\times 2}{2\left(x+5\right)}-\frac{x+5}{2\left(x+5\right)}$$

Since \frac{5\times 2}{2\left(x+5\right)} and \frac{x+5}{2\left(x+5\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5\times 2-\left(x+5\right)}{2\left(x+5\right)}$$

Do the multiplications in 5\times 2-\left(x+5\right).

$$\frac{10-x-5}{2\left(x+5\right)}$$

Combine like terms in 10-x-5.

$$\frac{5-x}{2\left(x+5\right)}$$

Expand 2\left(x+5\right).

$$\frac{5-x}{2x+10}$$

Factor

$$\frac{5-x}{2\left(x+5\right)}$$