Pre-Algebra Examples

$- 3 (4 x - 4) + 2 (- 6 x - 9)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 3 (4 x) - 3 \cdot - 4 + 2 (- 6 x - 9)$

Step 1.2

Multiply $4$ by $- 3$ .

$- 12 x - 3 \cdot - 4 + 2 (- 6 x - 9)$

Step 1.3

Multiply $- 3$ by $- 4$ .

$- 12 x + 12 + 2 (- 6 x - 9)$

Step 1.4

Apply the distributive property.

$- 12 x + 12 + 2 (- 6 x) + 2 \cdot - 9$

Step 1.5

Multiply $- 6$ by $2$ .

$- 12 x + 12 - 12 x + 2 \cdot - 9$

Step 1.6

Multiply $2$ by $- 9$ .

$- 12 x + 12 - 12 x - 18$

$- 12 x + 12 - 12 x - 18$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $12 x$ from $- 12 x$ .

$- 24 x + 12 - 18$

Step 2.2

Subtract $18$ from $12$ .

$- 24 x - 6$

$- 24 x - 6$

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