Algebra Examples

$- 3 (4 x + 3) + 4 (6 x + 1) = k$

Step 1

Rewrite the equation as $k = - 3 (4 x + 3) + 4 (6 x + 1)$ .

$k = - 3 (4 x + 3) + 4 (6 x + 1)$

Step 2

Simplify $- 3 (4 x + 3) + 4 (6 x + 1)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$k = - 3 (4 x) - 3 \cdot 3 + 4 (6 x + 1)$

Step 2.1.2

Multiply $4$ by $- 3$ .

$k = - 12 x - 3 \cdot 3 + 4 (6 x + 1)$

Step 2.1.3

Multiply $- 3$ by $3$ .

$k = - 12 x - 9 + 4 (6 x + 1)$

Step 2.1.4

Apply the distributive property.

$k = - 12 x - 9 + 4 (6 x) + 4 \cdot 1$

Step 2.1.5

Multiply $6$ by $4$ .

$k = - 12 x - 9 + 24 x + 4 \cdot 1$

Step 2.1.6

Multiply $4$ by $1$ .

$k = - 12 x - 9 + 24 x + 4$

$k = - 12 x - 9 + 24 x + 4$

Step 2.2

Simplify by adding terms.

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Step 2.2.1

Add $- 12 x$ and $24 x$ .

$k = 12 x - 9 + 4$

Step 2.2.2

Add $- 9$ and $4$ .

$k = 12 x - 5$

$k = 12 x - 5$

$k = 12 x - 5$

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