Algebra Examples

$- 5 (8 x + 1) + 2 (6 x - 5) - 1$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 5 (8 x) - 5 \cdot 1 + 2 (6 x - 5) - 1$

Step 1.2

Multiply $8$ by $- 5$ .

$- 40 x - 5 \cdot 1 + 2 (6 x - 5) - 1$

Step 1.3

Multiply $- 5$ by $1$ .

$- 40 x - 5 + 2 (6 x - 5) - 1$

Step 1.4

Apply the distributive property.

$- 40 x - 5 + 2 (6 x) + 2 \cdot - 5 - 1$

Step 1.5

Multiply $6$ by $2$ .

$- 40 x - 5 + 12 x + 2 \cdot - 5 - 1$

Step 1.6

Multiply $2$ by $- 5$ .

$- 40 x - 5 + 12 x - 10 - 1$

$- 40 x - 5 + 12 x - 10 - 1$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 40 x$ and $12 x$ .

$- 28 x - 5 - 10 - 1$

Step 2.2

Simplify by subtracting numbers.

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Step 2.2.1

Subtract $10$ from $- 5$ .

$- 28 x - 15 - 1$

Step 2.2.2

Subtract $1$ from $- 15$ .

$- 28 x - 16$

$- 28 x - 16$

$- 28 x - 16$

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