Solve 2/x-4/5+frac{10{x}}

$$\frac { \frac { 2 } { x } - 4 } { 5 + \frac { 10 } { x } }$$

Evaluate

$$-\frac{2\left(2x-1\right)}{5\left(x+2\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x}{x}.

$$\frac{\frac{2}{x}-\frac{4x}{x}}{5+\frac{10}{x}}$$

Since \frac{2}{x} and \frac{4x}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2-4x}{x}}{5+\frac{10}{x}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{x}{x}.

$$\frac{\frac{2-4x}{x}}{\frac{5x}{x}+\frac{10}{x}}$$

Since \frac{5x}{x} and \frac{10}{x} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2-4x}{x}}{\frac{5x+10}{x}}$$

Divide \frac{2-4x}{x} by \frac{5x+10}{x} by multiplying \frac{2-4x}{x} by the reciprocal of \frac{5x+10}{x}.

$$\frac{\left(2-4x\right)x}{x\left(5x+10\right)}$$

Cancel out x in both numerator and denominator.

$$\frac{-4x+2}{5x+10}$$

Expand

$$-\frac{2\left(2x-1\right)}{5\left(x+2\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x}{x}.

$$\frac{\frac{2}{x}-\frac{4x}{x}}{5+\frac{10}{x}}$$

Since \frac{2}{x} and \frac{4x}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2-4x}{x}}{5+\frac{10}{x}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{x}{x}.

$$\frac{\frac{2-4x}{x}}{\frac{5x}{x}+\frac{10}{x}}$$

Since \frac{5x}{x} and \frac{10}{x} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2-4x}{x}}{\frac{5x+10}{x}}$$

Divide \frac{2-4x}{x} by \frac{5x+10}{x} by multiplying \frac{2-4x}{x} by the reciprocal of \frac{5x+10}{x}.

$$\frac{\left(2-4x\right)x}{x\left(5x+10\right)}$$

Cancel out x in both numerator and denominator.

$$\frac{-4x+2}{5x+10}$$