Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Cancel the common factor of $5$ .

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Step 1.2.1

Factor $5$ out of $10 x$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 1.3

Multiply $2$ by $2$ .

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

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Factor $2$ out of $4$ .

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

Step 1.4.2

Cancel the common factor.

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

Step 1.4.3

Rewrite the expression.

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

Step 1.5

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

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

Step 1.6

Multiply $5$ by $2$ .

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

Step 2

Subtract $2 x$ from $4 x$ .

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