Algebra Examples

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

Step 1

Combine $\frac{3}{10}$ and $x$ .

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

Step 2

Apply the distributive property.

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

Step 3

Cancel the common factor of $10$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Move the leading negative in $- \frac{2}{5}$ into the numerator.

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

Step 4.2

Factor $5$ out of $10$ .

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

Step 4.3

Cancel the common factor.

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

Step 4.4

Rewrite the expression.

$3 x + 2 \cdot - 2$

Step 5

Multiply $2$ by $- 2$ .

$3 x - 4$