Solve x(2+3/x)/x(1-frac{2{x})}

$$\frac { x ( 2 + \frac { 3 } { x } ) } { x ( 1 - \frac { 2 } { x } ) }$$

Evaluate

$$\frac{2x+3}{x-2}$$

Solution Steps

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

$$\frac{x\left(\frac{2x}{x}+\frac{3}{x}\right)}{x\left(1-\frac{2}{x}\right)}$$

Since \frac{2x}{x} and \frac{3}{x} have the same denominator, add them by adding their numerators.

$$\frac{x\times \frac{2x+3}{x}}{x\left(1-\frac{2}{x}\right)}$$

Cancel out x and x.

$$\frac{2x+3}{x\left(1-\frac{2}{x}\right)}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x}{x}.

$$\frac{2x+3}{x\left(\frac{x}{x}-\frac{2}{x}\right)}$$

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

$$\frac{2x+3}{x\times \frac{x-2}{x}}$$

Cancel out x and x.

$$\frac{2x+3}{x-2}$$

Expand

$$\frac{2x+3}{x-2}$$

Solution Steps

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

$$\frac{x\left(\frac{2x}{x}+\frac{3}{x}\right)}{x\left(1-\frac{2}{x}\right)}$$

Since \frac{2x}{x} and \frac{3}{x} have the same denominator, add them by adding their numerators.

$$\frac{x\times \frac{2x+3}{x}}{x\left(1-\frac{2}{x}\right)}$$

Cancel out x and x.

$$\frac{2x+3}{x\left(1-\frac{2}{x}\right)}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x}{x}.

$$\frac{2x+3}{x\left(\frac{x}{x}-\frac{2}{x}\right)}$$

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

$$\frac{2x+3}{x\times \frac{x-2}{x}}$$

Cancel out x and x.

$$\frac{2x+3}{x-2}$$