Simplify 2/5(15x+10)-8x

$\frac{2}{5} (15 x + 10) - 8 x$

Step 1

Simplify each term.

Apply the distributive property.

$\frac{2}{5} (15 x) + \frac{2}{5} \cdot 10 - 8 x$

Cancel the common factor of $5$ .

Factor $5$ out of $15 x$ .

$\frac{2}{5} (5 (3 x)) + \frac{2}{5} \cdot 10 - 8 x$

Cancel the common factor.

$\frac{2}{5} (5 (3 x)) + \frac{2}{5} \cdot 10 - 8 x$

Rewrite the expression.

$2 (3 x) + \frac{2}{5} \cdot 10 - 8 x$

Multiply $3$ by $2$ .

$6 x + \frac{2}{5} \cdot 10 - 8 x$

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$6 x + \frac{2}{5} \cdot (5 (2)) - 8 x$

Cancel the common factor.

$6 x + \frac{2}{5} \cdot (5 \cdot 2) - 8 x$

Rewrite the expression.

$6 x + 2 \cdot 2 - 8 x$

Multiply $2$ by $2$ .

$6 x + 4 - 8 x$

Step 2

Subtract $8 x$ from $6 x$ .

$- 2 x + 4$