Finite Math Examples

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

Step 1

To write $2 x$ as a fraction with a common denominator, multiply by $\frac{x + 7}{x + 7}$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify the numerator.

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Step 3.1

Factor $2$ out of $2 x (x + 7) - 4$ .

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Step 3.1.1

Factor $2$ out of $2 x (x + 7)$ .

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

Step 3.1.2

Factor $2$ out of $- 4$ .

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

Step 3.1.3

Factor $2$ out of $2 (x (x + 7)) + 2 \cdot - 2$ .

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

Step 3.2

Apply the distributive property.

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

Step 3.3

Multiply $x$ by $x$ .

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

Step 3.4

Move $7$ to the left of $x$ .

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