Simplify 2x+4-2/3+x

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

Step 1

Add $2 x$ and $x$ .

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

Step 2

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

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

Step 3

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

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Multiply $4$ by $3$ .

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

Subtract $2$ from $12$ .

$3 x + \frac{10}{3}$