Algebra Examples

$4 (2 x - 5 (3 - x))$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 (2 x - 5 \cdot 3 - 5 (- x))$

Step 1.2

Multiply $- 5$ by $3$ .

$4 (2 x - 15 - 5 (- x))$

Step 1.3

Multiply $- 1$ by $- 5$ .

$4 (2 x - 15 + 5 x)$

$4 (2 x - 15 + 5 x)$

Step 2

Simplify terms.

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Step 2.1

Add $2 x$ and $5 x$ .

$4 (7 x - 15)$

Step 2.2

Apply the distributive property.

$4 (7 x) + 4 \cdot - 15$

Step 2.3

Multiply.

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Step 2.3.1

Multiply $7$ by $4$ .

$28 x + 4 \cdot - 15$

Step 2.3.2

Multiply $4$ by $- 15$ .

$28 x - 60$

$28 x - 60$

$28 x - 60$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$