Pre-Algebra Examples

$4 (3 x - 2) + 2 x + 4 - (6 - 7 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 (3 x) + 4 \cdot - 2 + 2 x + 4 - (6 - 7 x)$

Step 1.2

Multiply $3$ by $4$ .

$12 x + 4 \cdot - 2 + 2 x + 4 - (6 - 7 x)$

Step 1.3

Multiply $4$ by $- 2$ .

$12 x - 8 + 2 x + 4 - (6 - 7 x)$

Step 1.4

Apply the distributive property.

$12 x - 8 + 2 x + 4 - 1 \cdot 6 - (- 7 x)$

Step 1.5

Multiply $- 1$ by $6$ .

$12 x - 8 + 2 x + 4 - 6 - (- 7 x)$

Step 1.6

Multiply $- 7$ by $- 1$ .

$12 x - 8 + 2 x + 4 - 6 + 7 x$

$12 x - 8 + 2 x + 4 - 6 + 7 x$

Step 2

Simplify by adding terms.

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Step 2.1

Add $12 x$ and $2 x$ .

$14 x - 8 + 4 - 6 + 7 x$

Step 2.2

Add $14 x$ and $7 x$ .

$21 x - 8 + 4 - 6$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Add $- 8$ and $4$ .

$21 x - 4 - 6$

Step 2.3.2

Subtract $6$ from $- 4$ .

$21 x - 10$

$21 x - 10$

$21 x - 10$

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