Pre-Algebra Examples

$- 3 (2 x - 5) - 2 (4 x + 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 3 (2 x) - 3 \cdot - 5 - 2 (4 x + 3)$

Step 1.2

Multiply $2$ by $- 3$ .

$- 6 x - 3 \cdot - 5 - 2 (4 x + 3)$

Step 1.3

Multiply $- 3$ by $- 5$ .

$- 6 x + 15 - 2 (4 x + 3)$

Step 1.4

Apply the distributive property.

$- 6 x + 15 - 2 (4 x) - 2 \cdot 3$

Step 1.5

Multiply $4$ by $- 2$ .

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

Step 1.6

Multiply $- 2$ by $3$ .

$- 6 x + 15 - 8 x - 6$

$- 6 x + 15 - 8 x - 6$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 x$ from $- 6 x$ .

$- 14 x + 15 - 6$

Step 2.2

Subtract $6$ from $15$ .

$- 14 x + 9$

$- 14 x + 9$

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