Solve x/x-3-2x/x

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

Evaluate

$$\frac{6-x}{x-3}$$

Short Solution Steps

Cancel out x in both numerator and denominator.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x-3}{x-3}.

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

Since \frac{x}{x-3} and \frac{2\left(x-3\right)}{x-3} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in x-2\left(x-3\right).

$$\frac{x-2x+6}{x-3}$$

Combine like terms in x-2x+6.

$$\frac{-x+6}{x-3}$$

Factor

$$\frac{6-x}{x-3}$$