Algebra Examples

$\frac{x + 2}{2 x - 8} + \frac{x}{2 x - 8}$

Step 1

Combine the numerators over the common denominator.

$\frac{x + 2 + x}{2 x - 8}$

Step 2

Add $x$ and $x$ .

$\frac{2 x + 2}{2 x - 8}$

Step 3

Cancel the common factor of $2 x + 2$ and $2 x - 8$ .

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Step 3.1

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 2}{2 x - 8}$

Step 3.2

Factor $2$ out of $2$ .

$\frac{2 (x) + 2 \cdot 1}{2 x - 8}$

Step 3.3

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

$\frac{2 (x + 1)}{2 x - 8}$

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor $2$ out of $2 x$ .

$\frac{2 (x + 1)}{2 (x) - 8}$

Step 3.4.2

Factor $2$ out of $- 8$ .

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

Step 3.4.3

Factor $2$ out of $2 x + 2 \cdot - 4$ .

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

Step 3.4.4

Cancel the common factor.

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

Step 3.4.5

Rewrite the expression.

$\frac{x + 1}{x - 4}$