Finite Math Examples

$3 (2 (x - 7) + 8) - 2 (7 - (x + 5))$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$3 (2 x + 2 \cdot - 7 + 8) - 2 (7 - (x + 5))$

Step 1.1.2

Multiply $2$ by $- 7$ .

$3 (2 x - 14 + 8) - 2 (7 - (x + 5))$

$3 (2 x - 14 + 8) - 2 (7 - (x + 5))$

Step 1.2

Add $- 14$ and $8$ .

$3 (2 x - 6) - 2 (7 - (x + 5))$

Step 1.3

Apply the distributive property.

$3 (2 x) + 3 \cdot - 6 - 2 (7 - (x + 5))$

Step 1.4

Multiply $2$ by $3$ .

$6 x + 3 \cdot - 6 - 2 (7 - (x + 5))$

Step 1.5

Multiply $3$ by $- 6$ .

$6 x - 18 - 2 (7 - (x + 5))$

Step 1.6

Simplify each term.

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Step 1.6.1

Apply the distributive property.

$6 x - 18 - 2 (7 - x - 1 \cdot 5)$

Step 1.6.2

Multiply $- 1$ by $5$ .

$6 x - 18 - 2 (7 - x - 5)$

$6 x - 18 - 2 (7 - x - 5)$

Step 1.7

Subtract $5$ from $7$ .

$6 x - 18 - 2 (- x + 2)$

Step 1.8

Apply the distributive property.

$6 x - 18 - 2 (- x) - 2 \cdot 2$

Step 1.9

Multiply $- 1$ by $- 2$ .

$6 x - 18 + 2 x - 2 \cdot 2$

Step 1.10

Multiply $- 2$ by $2$ .

$6 x - 18 + 2 x - 4$

$6 x - 18 + 2 x - 4$

Step 2

Simplify by adding terms.

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Step 2.1

Add $6 x$ and $2 x$ .

$8 x - 18 - 4$

Step 2.2

Subtract $4$ from $- 18$ .

$8 x - 22$

$8 x - 22$

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