Simplify (4x)/3-2(x+4)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $- 2$ by $4$ .

$\frac{4 x}{3} - 2 x - 8$

Step 2

To write $- 2 x$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{4 x}{3} - 2 x \cdot \frac{3}{3} - 8$

Step 3

Simplify terms.

Combine $- 2 x$ and $\frac{3}{3}$ .

$\frac{4 x}{3} + \frac{- 2 x \cdot 3}{3} - 8$

Combine the numerators over the common denominator.

$\frac{4 x - 2 x \cdot 3}{3} - 8$

Step 4

Simplify each term.

Simplify the numerator.

Factor $2 x$ out of $4 x - 2 x \cdot 3$ .

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

$\frac{2 x (2) - 2 x \cdot 3}{3} - 8$

Factor $2 x$ out of $- 2 x \cdot 3$ .

$\frac{2 x (2) + 2 x (- 1 \cdot 3)}{3} - 8$

Factor $2 x$ out of $2 x (2) + 2 x (- 1 \cdot 3)$ .

$\frac{2 x (2 - 1 \cdot 3)}{3} - 8$

Multiply $- 1$ by $3$ .

$\frac{2 x (2 - 3)}{3} - 8$

Subtract $3$ from $2$ .

$\frac{2 x \cdot - 1}{3} - 8$

Multiply $- 1$ by $2$ .

$\frac{- 2 x}{3} - 8$

Move the negative in front of the fraction.

$- \frac{2 x}{3} - 8$