Simplify (2x-3)/(x+4)+(4x-5)/(x+4)

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

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 $6 x - 8$ .

Factor $2$ out of $6 x$ .

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

Factor $2$ out of $- 8$ .

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

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

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