Algebra Examples

$1 - 4 (x + 6) - 6 (8 - 2 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$1 - 4 x - 4 \cdot 6 - 6 (8 - 2 x)$

Step 1.2

Multiply $- 4$ by $6$ .

$1 - 4 x - 24 - 6 (8 - 2 x)$

Step 1.3

Apply the distributive property.

$1 - 4 x - 24 - 6 \cdot 8 - 6 (- 2 x)$

Step 1.4

Multiply $- 6$ by $8$ .

$1 - 4 x - 24 - 48 - 6 (- 2 x)$

Step 1.5

Multiply $- 2$ by $- 6$ .

$1 - 4 x - 24 - 48 + 12 x$

$1 - 4 x - 24 - 48 + 12 x$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $24$ from $1$ .

$- 4 x - 23 - 48 + 12 x$

Step 2.2

Add $- 4 x$ and $12 x$ .

$8 x - 23 - 48$

Step 2.3

Subtract $48$ from $- 23$ .

$8 x - 71$

$8 x - 71$

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