Solve x5/12-2/x-11

$$\frac { x 5 } { 12 } - \frac { 2 } { x - 11 }$$

Evaluate

$$\frac{xx_{5}-11x_{5}-24}{12\left(x-11\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 12 and x-11 is 12\left(x-11\right). Multiply \frac{x_{5}}{12} times \frac{x-11}{x-11}. Multiply \frac{2}{x-11} times \frac{12}{12}.

$$\frac{x_{5}\left(x-11\right)}{12\left(x-11\right)}-\frac{2\times 12}{12\left(x-11\right)}$$

Since \frac{x_{5}\left(x-11\right)}{12\left(x-11\right)} and \frac{2\times 12}{12\left(x-11\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x_{5}\left(x-11\right)-2\times 12}{12\left(x-11\right)}$$

Do the multiplications in x_{5}\left(x-11\right)-2\times 12.

$$\frac{x_{5}x-11x_{5}-24}{12\left(x-11\right)}$$

Expand 12\left(x-11\right).

$$\frac{x_{5}x-11x_{5}-24}{12x-132}$$

Factor

$$\frac{xx_{5}-11x_{5}-24}{12\left(x-11\right)}$$