Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Simplify each term.

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Step 1.1.1.1

Apply the distributive property.

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

Step 1.1.1.2

Multiply $5$ by $3$ .

$8 + 3 (x - 2 (x + 5 x + 15))$

$8 + 3 (x - 2 (x + 5 x + 15))$

Step 1.1.2

Add $x$ and $5 x$ .

$8 + 3 (x - 2 (6 x + 15))$

Step 1.1.3

Apply the distributive property.

$8 + 3 (x - 2 (6 x) - 2 \cdot 15)$

Step 1.1.4

Multiply $6$ by $- 2$ .

$8 + 3 (x - 12 x - 2 \cdot 15)$

Step 1.1.5

Multiply $- 2$ by $15$ .

$8 + 3 (x - 12 x - 30)$

$8 + 3 (x - 12 x - 30)$

Step 1.2

Subtract $12 x$ from $x$ .

$8 + 3 (- 11 x - 30)$

Step 1.3

Apply the distributive property.

$8 + 3 (- 11 x) + 3 \cdot - 30$

Step 1.4

Multiply $- 11$ by $3$ .

$8 - 33 x + 3 \cdot - 30$

Step 1.5

Multiply $3$ by $- 30$ .

$8 - 33 x - 90$

$8 - 33 x - 90$

Step 2

Subtract $90$ from $8$ .

$- 33 x - 82$

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