Pre-Algebra Examples

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $- - x$ .

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Step 2.1

Multiply $- 1$ by $- 1$ .

$4 x - 2 + (1 x - - 5) \cdot 2$

Step 2.2

Multiply $x$ by $1$ .

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

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

Step 3

Multiply $- 1$ by $- 5$ .

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

Step 4

Apply the distributive property.

$4 x - 2 + x \cdot 2 + 5 \cdot 2$

Step 5

Move $2$ to the left of $x$ .

$4 x - 2 + 2 \cdot x + 5 \cdot 2$

Step 6

Multiply $5$ by $2$ .

$4 x - 2 + 2 x + 10$

Step 7

Add $4 x$ and $2 x$ .

$6 x - 2 + 10$

Step 8

Add $- 2$ and $10$ .

$6 x + 8$

Step 9

Factor $2$ out of $6 x + 8$ .

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Step 9.1

Factor $2$ out of $6 x$ .

$2 (3 x) + 8$

Step 9.2

Factor $2$ out of $8$ .

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

Step 9.3

Factor $2$ out of $2 (3 x) + 2 (4)$ .

$2 (3 x + 4)$

$2 (3 x + 4)$

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