Simplify 7+(3x)/(x+8)

$7 + \frac{3 x}{x + 8}$

Step 1

To write $7$ as a fraction with a common denominator, multiply by $\frac{x + 8}{x + 8}$ .

$\frac{7 (x + 8)}{x + 8} + \frac{3 x}{x + 8}$

Step 2

Combine the numerators over the common denominator.

$\frac{7 (x + 8) + 3 x}{x + 8}$

Step 3

Simplify the numerator.

Apply the distributive property.

$\frac{7 x + 7 \cdot 8 + 3 x}{x + 8}$

Multiply $7$ by $8$ .

$\frac{7 x + 56 + 3 x}{x + 8}$

Add $7 x$ and $3 x$ .

$\frac{10 x + 56}{x + 8}$

Factor $2$ out of $10 x + 56$ .

Factor $2$ out of $10 x$ .

$\frac{2 (5 x) + 56}{x + 8}$

Factor $2$ out of $56$ .

$\frac{2 (5 x) + 2 (28)}{x + 8}$

Factor $2$ out of $2 (5 x) + 2 (28)$ .

$\frac{2 (5 x + 28)}{x + 8}$