Simplify 2/5(10x+3/4)-2x

$\frac{2}{5} (10 x + \frac{3}{4}) - 2 x$

Step 1

Simplify each term.

Apply the distributive property.

$\frac{2}{5} (10 x) + \frac{2}{5} \cdot \frac{3}{4} - 2 x$

Cancel the common factor of $5$ .

Factor $5$ out of $10 x$ .

$\frac{2}{5} (5 (2 x)) + \frac{2}{5} \cdot \frac{3}{4} - 2 x$

Cancel the common factor.

$\frac{2}{5} (5 (2 x)) + \frac{2}{5} \cdot \frac{3}{4} - 2 x$

Rewrite the expression.

$2 (2 x) + \frac{2}{5} \cdot \frac{3}{4} - 2 x$

Multiply $2$ by $2$ .

$4 x + \frac{2}{5} \cdot \frac{3}{4} - 2 x$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$4 x + \frac{2}{5} \cdot \frac{3}{2 (2)} - 2 x$

Cancel the common factor.

$4 x + \frac{2}{5} \cdot \frac{3}{2 \cdot 2} - 2 x$

Rewrite the expression.

$4 x + \frac{1}{5} \cdot \frac{3}{2} - 2 x$

Multiply $\frac{1}{5}$ by $\frac{3}{2}$ .

$4 x + \frac{3}{5 \cdot 2} - 2 x$

Multiply $5$ by $2$ .

$4 x + \frac{3}{10} - 2 x$

Step 2

Subtract $2 x$ from $4 x$ .

$2 x + \frac{3}{10}$