Simplify 3x-x/(x+3)

$3 x - \frac{x}{x + 3}$

To write $3 x$ as a fraction with a common denominator, multiply by $\frac{x + 3}{x + 3}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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

Factor $x$ out of $3 x (x + 3)$ .

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

Factor $x$ out of $- x$ .

$\frac{x (3 (x + 3)) + x \cdot - 1}{x + 3}$

Factor $x$ out of $x (3 (x + 3)) + x \cdot - 1$ .

$\frac{x (3 (x + 3) - 1)}{x + 3}$

Apply the distributive property.

$\frac{x (3 x + 3 \cdot 3 - 1)}{x + 3}$

Multiply $3$ by $3$ .

$\frac{x (3 x + 9 - 1)}{x + 3}$

Subtract $1$ from $9$ .

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