Algebra Examples

$2 ((8 (x - 1) + 7) - (2 (4 x - 1) + 7))$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 (8 x + 8 \cdot - 1 + 7 - (2 (4 x - 1) + 7))$

Step 1.2

Multiply $8$ by $- 1$ .

$2 (8 x - 8 + 7 - (2 (4 x - 1) + 7))$

Step 1.3

Simplify each term.

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Step 1.3.1

Apply the distributive property.

$2 (8 x - 8 + 7 - (2 (4 x) + 2 \cdot - 1 + 7))$

Step 1.3.2

Multiply $4$ by $2$ .

$2 (8 x - 8 + 7 - (8 x + 2 \cdot - 1 + 7))$

Step 1.3.3

Multiply $2$ by $- 1$ .

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

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

Step 1.4

Add $- 2$ and $7$ .

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

Step 1.5

Apply the distributive property.

$2 (8 x - 8 + 7 - (8 x) - 1 \cdot 5)$

Step 1.6

Multiply $8$ by $- 1$ .

$2 (8 x - 8 + 7 - 8 x - 1 \cdot 5)$

Step 1.7

Multiply $- 1$ by $5$ .

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $8 x - 8 + 7 - 8 x - 5$ .

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Step 2.1.1

Subtract $8 x$ from $8 x$ .

$2 (0 - 8 + 7 - 5)$

Step 2.1.2

Subtract $8$ from $0$ .

$2 (- 8 + 7 - 5)$

$2 (- 8 + 7 - 5)$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $- 8$ and $7$ .

$2 (- 1 - 5)$

Step 2.2.2

Subtract $5$ from $- 1$ .

$2 \cdot - 6$

Step 2.2.3

Multiply $2$ by $- 6$ .

$- 12$

$- 12$

$- 12$

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