Evaluate Using the Given Value -0.4(3x-2)+(2x+4)/3 for x=4

$- 0.4 (3 x - 2) + \frac{2 x + 4}{3}$ for $x = 4$

Step 1

Replace the variable $x$ with $4$ in the expression.

$- 0.4 (3 (4) - 2) + \frac{2 (4) + 4}{3}$

Step 2

Simplify the expression.

Multiply $2$ by $4$ .

$- 0.4 (3 (4) - 2) + \frac{8 + 4}{3}$

Add $8$ and $4$ .

$- 0.4 (3 (4) - 2) + \frac{12}{3}$

Step 3

Simplify each term.

Multiply $3$ by $4$ .

$- 0.4 (12 - 2) + \frac{12}{3}$

Subtract $2$ from $12$ .

$- 0.4 \cdot 10 + \frac{12}{3}$

Multiply $- 0.4$ by $10$ .

$- 4 + \frac{12}{3}$

Divide $12$ by $3$ .

$- 4 + 4$

Step 4

Add $- 4$ and $4$ .

$0$