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

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

Add $x$ and $5 x$ .

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

Step 3

Factor $2$ out of $6 x - 4$ .

Factor $2$ out of $6 x$ .

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

Factor $2$ out of $- 4$ .

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

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

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