Finite Math Examples

$5 (3 (7 x + 5) - 3 (5 x + 6))$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 (3 (7 x) + 3 \cdot 5 - 3 (5 x + 6))$

Step 1.2

Multiply $7$ by $3$ .

$5 (21 x + 3 \cdot 5 - 3 (5 x + 6))$

Step 1.3

Multiply $3$ by $5$ .

$5 (21 x + 15 - 3 (5 x + 6))$

Step 1.4

Apply the distributive property.

$5 (21 x + 15 - 3 (5 x) - 3 \cdot 6)$

Step 1.5

Multiply $5$ by $- 3$ .

$5 (21 x + 15 - 15 x - 3 \cdot 6)$

Step 1.6

Multiply $- 3$ by $6$ .

$5 (21 x + 15 - 15 x - 18)$

$5 (21 x + 15 - 15 x - 18)$

Step 2

Simplify terms.

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Step 2.1

Subtract $15 x$ from $21 x$ .

$5 (6 x + 15 - 18)$

Step 2.2

Subtract $18$ from $15$ .

$5 (6 x - 3)$

Step 2.3

Apply the distributive property.

$5 (6 x) + 5 \cdot - 3$

Step 2.4

Multiply.

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Step 2.4.1

Multiply $6$ by $5$ .

$30 x + 5 \cdot - 3$

Step 2.4.2

Multiply $5$ by $- 3$ .

$30 x - 15$

$30 x - 15$

$30 x - 15$

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