Solve 2-4-2x/x-5-1-6/5-x

$$2 - \frac { 4 - 2 x } { x - 5 } - 1 - \frac { 6 } { 5 - x }$$

Evaluate

$$\frac{3\left(1-x\right)}{5-x}$$

Short Solution Steps

Subtract 1 from 2 to get 1.

$$1-\frac{4-2x}{x-5}-\frac{6}{5-x}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x-5}{x-5}.

$$\frac{x-5}{x-5}-\frac{4-2x}{x-5}-\frac{6}{5-x}$$

Since \frac{x-5}{x-5} and \frac{4-2x}{x-5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x-5-\left(4-2x\right)}{x-5}-\frac{6}{5-x}$$

Do the multiplications in x-5-\left(4-2x\right).

$$\frac{x-5-4+2x}{x-5}-\frac{6}{5-x}$$

Combine like terms in x-5-4+2x.

$$\frac{3x-9}{x-5}-\frac{6}{5-x}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x-5 and 5-x is x-5. Multiply \frac{6}{5-x} times \frac{-1}{-1}.

$$\frac{3x-9}{x-5}-\frac{6\left(-1\right)}{x-5}$$

Since \frac{3x-9}{x-5} and \frac{6\left(-1\right)}{x-5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3x-9-6\left(-1\right)}{x-5}$$

Do the multiplications in 3x-9-6\left(-1\right).

$$\frac{3x-9+6}{x-5}$$

Combine like terms in 3x-9+6.

$$\frac{3x-3}{x-5}$$

Expand

$$\frac{3\left(x-1\right)}{x-5}$$

Short Solution Steps

Subtract 1 from 2 to get 1.

$$1-\frac{4-2x}{x-5}-\frac{6}{5-x}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x-5}{x-5}.

$$\frac{x-5}{x-5}-\frac{4-2x}{x-5}-\frac{6}{5-x}$$

Since \frac{x-5}{x-5} and \frac{4-2x}{x-5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x-5-\left(4-2x\right)}{x-5}-\frac{6}{5-x}$$

Do the multiplications in x-5-\left(4-2x\right).

$$\frac{x-5-4+2x}{x-5}-\frac{6}{5-x}$$

Combine like terms in x-5-4+2x.

$$\frac{3x-9}{x-5}-\frac{6}{5-x}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x-5 and 5-x is x-5. Multiply \frac{6}{5-x} times \frac{-1}{-1}.

$$\frac{3x-9}{x-5}-\frac{6\left(-1\right)}{x-5}$$

Since \frac{3x-9}{x-5} and \frac{6\left(-1\right)}{x-5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3x-9-6\left(-1\right)}{x-5}$$

Do the multiplications in 3x-9-6\left(-1\right).

$$\frac{3x-9+6}{x-5}$$

Combine like terms in 3x-9+6.

$$\frac{3x-3}{x-5}$$