Algebra Examples

$- \frac{4}{5} (30 x - 40) + (42 x + 4)$

Step 1

Remove parentheses.

$- \frac{4}{5} \cdot (30 x - 40) + 42 x + 4$

Step 2

Factor $\frac{1}{5}$ out of each term.

$\frac{1}{5} (- 1 \cdot 4 \cdot (30 x - 40) + 210 x + 20)$

Step 3

Factor $2$ out of $- 1 \cdot 4 \cdot (30 x - 40) + 210 x + 20$ .

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Step 3.1

Factor $2$ out of $- 1 \cdot 4 \cdot (30 x - 40)$ .

$\frac{1}{5} \cdot (2 (- 1 \cdot 2 \cdot (30 x - 40)) + 210 x + 20)$

Step 3.2

Factor $2$ out of $210 x$ .

$\frac{1}{5} \cdot (2 (- 1 \cdot 2 \cdot (30 x - 40)) + 2 (105 x) + 20)$

Step 3.3

Factor $2$ out of $20$ .

$\frac{1}{5} \cdot (2 (- 1 \cdot 2 \cdot (30 x - 40)) + 2 (105 x) + 2 (10))$

Step 3.4

Factor $2$ out of $2 (- 1 \cdot 2 \cdot (30 x - 40)) + 2 (105 x)$ .

$\frac{1}{5} \cdot (2 (- 1 \cdot 2 \cdot (30 x - 40) + 105 x) + 2 (10))$

Step 3.5

Factor $2$ out of $2 (- 1 \cdot 2 \cdot (30 x - 40) + 105 x) + 2 (10)$ .

$\frac{1}{5} \cdot (2 (- 1 \cdot 2 \cdot (30 x - 40) + 105 x + 10))$

Step 4

Multiply $- 1$ by $2$ .

$\frac{1}{5} \cdot (2 (- 2 (30 x - 40) + 105 x + 10))$

Step 5

Apply the distributive property.

$\frac{1}{5} \cdot (2 (- 2 (30 x) - 2 \cdot - 40 + 105 x + 10))$

Step 6

Multiply $30$ by $- 2$ .

$\frac{1}{5} \cdot (2 (- 60 x - 2 \cdot - 40 + 105 x + 10))$

Step 7

Multiply $- 2$ by $- 40$ .

$\frac{1}{5} \cdot (2 (- 60 x + 80 + 105 x + 10))$

Step 8

Add $- 60 x$ and $105 x$ .

$\frac{1}{5} \cdot (2 (45 x + 80 + 10))$

Step 9

Add $80$ and $10$ .

$\frac{1}{5} \cdot (2 (45 x + 90))$

Step 10

Factor.

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Step 10.1

Factor $45$ out of $45 x + 90$ .

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Step 10.1.1

Factor $45$ out of $45 x$ .

$\frac{1}{5} \cdot (2 (45 (x) + 90))$

Step 10.1.2

Factor $45$ out of $90$ .

$\frac{1}{5} \cdot (2 (45 x + 45 \cdot 2))$

Step 10.1.3

Factor $45$ out of $45 x + 45 \cdot 2$ .

$\frac{1}{5} \cdot (2 (45 (x + 2)))$

Step 10.2

Remove unnecessary parentheses.

$\frac{1}{5} \cdot (2 \cdot 45 (x + 2))$

Step 11

Factor.

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Step 11.1

Multiply $2$ by $45$ .

$\frac{1}{5} \cdot (90 (x + 2))$

Step 11.2

Remove unnecessary parentheses.

$\frac{1}{5} \cdot 90 (x + 2)$

Step 12

Combine $\frac{1}{5}$ and $90$ .

$\frac{90}{5} (x + 2)$

Step 13

Divide $90$ by $5$ .

$18 \cdot (x + 2)$