Calculus Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $3$ by $6$ .

$3 x + 18 + 4 (2 x - 5)$

Step 1.3

Apply the distributive property.

$3 x + 18 + 4 (2 x) + 4 \cdot - 5$

Step 1.4

Multiply $2$ by $4$ .

$3 x + 18 + 8 x + 4 \cdot - 5$

Step 1.5

Multiply $4$ by $- 5$ .

$3 x + 18 + 8 x - 20$

$3 x + 18 + 8 x - 20$

Step 2

Simplify by adding terms.

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Step 2.1

Add $3 x$ and $8 x$ .

$11 x + 18 - 20$

Step 2.2

Subtract $20$ from $18$ .

$11 x - 2$

$11 x - 2$

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