Algebra Examples

$\frac{2}{3} (9 x - 15) - (- 6 x + 2)$

Step 1

Factor $\frac{1}{3}$ out of each term.

$\frac{1}{3} \cdot (2 (9 x - 15) + 18 x - 6)$

Step 2

Factor $2$ out of $2 \cdot (9 x - 15) + 18 x - 6$ .

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Step 2.1

Factor $2$ out of $18 x$ .

$\frac{1}{3} \cdot (2 (9 x - 15) + 2 (9 x) - 6)$

Step 2.2

Factor $2$ out of $- 6$ .

$\frac{1}{3} \cdot (2 (9 x - 15) + 2 (9 x) + 2 \cdot - 3)$

Step 2.3

Factor $2$ out of $2 (9 x - 15) + 2 (9 x)$ .

$\frac{1}{3} \cdot (2 (9 x - 15 + 9 x) + 2 \cdot - 3)$

Step 2.4

Factor $2$ out of $2 (9 x - 15 + 9 x) + 2 \cdot - 3$ .

$\frac{1}{3} \cdot (2 (9 x - 15 + 9 x - 3))$

Step 3

Add $9 x$ and $9 x$ .

$\frac{1}{3} \cdot (2 (18 x - 15 - 3))$

Step 4

Subtract $3$ from $- 15$ .

$\frac{1}{3} \cdot (2 (18 x - 18))$

Step 5

Factor.

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Step 5.1

Factor $18$ out of $18 x - 18$ .

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Step 5.1.1

Factor $18$ out of $18 x$ .

$\frac{1}{3} \cdot (2 (18 (x) - 18))$

Step 5.1.2

Factor $18$ out of $- 18$ .

$\frac{1}{3} \cdot (2 (18 (x) + 18 (- 1)))$

Step 5.1.3

Factor $18$ out of $18 (x) + 18 (- 1)$ .

$\frac{1}{3} \cdot (2 (18 (x - 1)))$

Step 5.2

Remove unnecessary parentheses.

$\frac{1}{3} \cdot (2 \cdot 18 (x - 1))$

Step 6

Factor.

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Step 6.1

Multiply $2$ by $18$ .

$\frac{1}{3} \cdot (36 (x - 1))$

Step 6.2

Remove unnecessary parentheses.

$\frac{1}{3} \cdot 36 (x - 1)$

Step 7

Combine $\frac{1}{3}$ and $36$ .

$\frac{36}{3} (x - 1)$

Step 8

Divide $36$ by $3$ .

$12 \cdot (x - 1)$