Algebra Examples

$\frac{2 x - 3}{x + 4} + \frac{4 x - 5}{x + 4}$

Step 1

Combine the numerators over the common denominator.

$\frac{2 x - 3 + 4 x - 5}{x + 4}$

Step 2

Add $2 x$ and $4 x$ .

$\frac{6 x - 3 - 5}{x + 4}$

Step 3

Subtract $5$ from $- 3$ .

$\frac{6 x - 8}{x + 4}$

Step 4

Factor $2$ out of $6 x - 8$ .

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Step 4.1

Factor $2$ out of $6 x$ .

$\frac{2 (3 x) - 8}{x + 4}$

Step 4.2

Factor $2$ out of $- 8$ .

$\frac{2 (3 x) + 2 (- 4)}{x + 4}$

Step 4.3

Factor $2$ out of $2 (3 x) + 2 (- 4)$ .

$\frac{2 (3 x - 4)}{x + 4}$