Simplify (x+2)/3+4x

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

Step 1

To write $4 x$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{x + 2}{3} + 4 x \cdot \frac{3}{3}$

Step 2

Simplify terms.

Combine $4 x$ and $\frac{3}{3}$ .

$\frac{x + 2}{3} + \frac{4 x \cdot 3}{3}$

Combine the numerators over the common denominator.

$\frac{x + 2 + 4 x \cdot 3}{3}$

Step 3

Simplify the numerator.

Multiply $3$ by $4$ .

$\frac{x + 2 + 12 x}{3}$

Add $x$ and $12 x$ .

$\frac{13 x + 2}{3}$