Algebra Examples

$(18 x - 12) \div 6 x$

Step 1

Rewrite the division as a fraction.

$\frac{18 x - 12}{6 x}$

Step 2

Cancel the common factor of $18 x - 12$ and $6$ .

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Step 2.1

Factor $6$ out of $18 x$ .

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

Step 2.2

Factor $6$ out of $- 12$ .

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

Step 2.3

Factor $6$ out of $6 (3 x) + 6 (- 2)$ .

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

Step 2.4

Cancel the common factors.

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Step 2.4.1

Factor $6$ out of $6 x$ .

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

Step 2.4.2

Cancel the common factor.

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

Step 2.4.3

Rewrite the expression.

$\frac{3 x - 2}{x}$

$\frac{3 x - 2}{x}$

$\frac{3 x - 2}{x}$

Step 3

Split the fraction $\frac{3 x - 2}{x}$ into two fractions.

$\frac{3 x}{x} + \frac{- 2}{x}$

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

$\frac{3 x}{x} + \frac{- 2}{x}$

Step 4.2

Divide $3$ by $1$ .

$3 + \frac{- 2}{x}$

$3 + \frac{- 2}{x}$

Step 5

Move the negative in front of the fraction.

$3 - \frac{2}{x}$

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