Solve 7/x+7/x+9

$$\frac { 7 } { x } + \frac { 7 } { x + 9 }$$

Evaluate

$$\frac{7\left(2x+9\right)}{x\left(x+9\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x+9 is x\left(x+9\right). Multiply \frac{7}{x} times \frac{x+9}{x+9}. Multiply \frac{7}{x+9} times \frac{x}{x}.

$$\frac{7\left(x+9\right)}{x\left(x+9\right)}+\frac{7x}{x\left(x+9\right)}$$

Since \frac{7\left(x+9\right)}{x\left(x+9\right)} and \frac{7x}{x\left(x+9\right)} have the same denominator, add them by adding their numerators.

$$\frac{7\left(x+9\right)+7x}{x\left(x+9\right)}$$

Do the multiplications in 7\left(x+9\right)+7x.

$$\frac{7x+63+7x}{x\left(x+9\right)}$$

Combine like terms in 7x+63+7x.

$$\frac{14x+63}{x\left(x+9\right)}$$

Expand x\left(x+9\right).

$$\frac{14x+63}{x^{2}+9x}$$

Factor

$$\frac{7\left(2x+9\right)}{x\left(x+9\right)}$$