Basic Math Examples

$7 (x - 1) - 2 (x + 1) + 3 (x - 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 x + 7 \cdot - 1 - 2 (x + 1) + 3 (x - 4)$

Step 1.2

Multiply $7$ by $- 1$ .

$7 x - 7 - 2 (x + 1) + 3 (x - 4)$

Step 1.3

Apply the distributive property.

$7 x - 7 - 2 x - 2 \cdot 1 + 3 (x - 4)$

Step 1.4

Multiply $- 2$ by $1$ .

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

Step 1.5

Apply the distributive property.

$7 x - 7 - 2 x - 2 + 3 x + 3 \cdot - 4$

Step 1.6

Multiply $3$ by $- 4$ .

$7 x - 7 - 2 x - 2 + 3 x - 12$

$7 x - 7 - 2 x - 2 + 3 x - 12$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 x$ from $7 x$ .

$5 x - 7 - 2 + 3 x - 12$

Step 2.2

Add $5 x$ and $3 x$ .

$8 x - 7 - 2 - 12$

Step 2.3

Simplify by subtracting numbers.

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Step 2.3.1

Subtract $2$ from $- 7$ .

$8 x - 9 - 12$

Step 2.3.2

Subtract $12$ from $- 9$ .

$8 x - 21$

$8 x - 21$

$8 x - 21$

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