Algebra Examples

$\frac{- 4 x}{x + 7} - \frac{8}{x + 7}$

Step 1

Combine the numerators over the common denominator.

$\frac{- 4 x - 8}{x + 7}$

Step 2

Factor $4$ out of $- 4 x - 8$ .

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Step 2.1

Factor $4$ out of $- 4 x$ .

$\frac{4 (- x) - 8}{x + 7}$

Step 2.2

Factor $4$ out of $- 8$ .

$\frac{4 (- x) + 4 (- 2)}{x + 7}$

Step 2.3

Factor $4$ out of $4 (- x) + 4 (- 2)$ .

$\frac{4 (- x - 2)}{x + 7}$

$\frac{4 (- x - 2)}{x + 7}$

Step 3

Factor $- 1$ out of $- x$ .

$\frac{4 (- (x) - 2)}{x + 7}$

Step 4

Rewrite $- 2$ as $- 1 (2)$ .

$\frac{4 (- (x) - 1 (2))}{x + 7}$

Step 5

Factor $- 1$ out of $- (x) - 1 (2)$ .

$\frac{4 (- (x + 2))}{x + 7}$

Step 6

Simplify the expression.

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Step 6.1

Rewrite $- (x + 2)$ as $- 1 (x + 2)$ .

$\frac{4 (- 1 (x + 2))}{x + 7}$

Step 6.2

Move the negative in front of the fraction.

$- \frac{4 (x + 2)}{x + 7}$

$- \frac{4 (x + 2)}{x + 7}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$