Solve 2/1*45-1/x+5

$$\frac { 2 } { 1 \times 45 } - \frac { 1 } { x + 5 }$$

Evaluate

$$\frac{2x-35}{45\left(x+5\right)}$$

Short Solution Steps

Multiply 1 and 45 to get 45.

$$\frac{2}{45}-\frac{1}{x+5}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 45 and x+5 is 45\left(x+5\right). Multiply \frac{2}{45} times \frac{x+5}{x+5}. Multiply \frac{1}{x+5} times \frac{45}{45}.

$$\frac{2\left(x+5\right)}{45\left(x+5\right)}-\frac{45}{45\left(x+5\right)}$$

Since \frac{2\left(x+5\right)}{45\left(x+5\right)} and \frac{45}{45\left(x+5\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\left(x+5\right)-45}{45\left(x+5\right)}$$

Do the multiplications in 2\left(x+5\right)-45.

$$\frac{2x+10-45}{45\left(x+5\right)}$$

Combine like terms in 2x+10-45.

$$\frac{2x-35}{45\left(x+5\right)}$$

Expand 45\left(x+5\right).

$$\frac{2x-35}{45x+225}$$

Factor

$$\frac{2x-35}{45\left(x+5\right)}$$