Solve =4-3(2/x-1)

$$= 4 - 3 ( \frac { 2 } { x - 1 } )$$

Evaluate

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

Short Solution Steps

Express 3\times \frac{2}{x-1} as a single fraction.

$$4-\frac{3\times 2}{x-1}$$

Multiply 3 and 2 to get 6.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x-1}{x-1}.

$$\frac{4\left(x-1\right)}{x-1}-\frac{6}{x-1}$$

Since \frac{4\left(x-1\right)}{x-1} and \frac{6}{x-1} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\left(x-1\right)-6}{x-1}$$

Do the multiplications in 4\left(x-1\right)-6.

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

Combine like terms in 4x-4-6.

$$\frac{4x-10}{x-1}$$

Factor

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