Algebra Examples

$(\frac{12 x - 6}{3 x})$

Step 1

Remove parentheses.

$\frac{12 x - 6}{3 x}$

Step 2

Cancel the common factor of $12 x - 6$ and $3$ .

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Step 2.1

Factor $3$ out of $12 x$ .

$\frac{3 (4 x) - 6}{3 x}$

Step 2.2

Factor $3$ out of $- 6$ .

$\frac{3 (4 x) + 3 \cdot - 2}{3 x}$

Step 2.3

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

$\frac{3 (4 x - 2)}{3 x}$

Step 2.4

Cancel the common factors.

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Step 2.4.1

Factor $3$ out of $3 x$ .

$\frac{3 (4 x - 2)}{3 (x)}$

Step 2.4.2

Cancel the common factor.

$\frac{3 (4 x - 2)}{3 x}$

Step 2.4.3

Rewrite the expression.

$\frac{4 x - 2}{x}$

$\frac{4 x - 2}{x}$

$\frac{4 x - 2}{x}$

Step 3

Factor $2$ out of $4 x - 2$ .

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Step 3.1

Factor $2$ out of $4 x$ .

$\frac{2 (2 x) - 2}{x}$

Step 3.2

Factor $2$ out of $- 2$ .

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

Step 3.3

Factor $2$ out of $2 (2 x) + 2 (- 1)$ .

$\frac{2 (2 x - 1)}{x}$

$\frac{2 (2 x - 1)}{x}$

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