Solve f(x)=4/-x-2+2

$$f ( x ) = \frac { 4 } { - x - 2 } + 2$$

Evaluate

$$\frac{2x}{x+2}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{-x-2}{-x-2}.

$$\frac{4}{-x-2}+\frac{2\left(-x-2\right)}{-x-2}$$

Since \frac{4}{-x-2} and \frac{2\left(-x-2\right)}{-x-2} have the same denominator, add them by adding their numerators.

$$\frac{4+2\left(-x-2\right)}{-x-2}$$

Do the multiplications in 4+2\left(-x-2\right).

$$\frac{4-2x-4}{-x-2}$$

Combine like terms in 4-2x-4.

$$\frac{-2x}{-x-2}$$

Factor

$$\frac{2x}{x+2}$$