Algebra Examples

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

Factor $2$ out of $2 x - 6$ .

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Step 2.1

Factor $2$ out of $2 x$ .

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

Step 2.2

Factor $2$ out of $- 6$ .

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

Step 2.3

Factor $2$ out of $2 x + 2 \cdot - 3$ .

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

Step 3

Cancel the common factor of $x - 3$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Divide $2$ by $1$ .

$2$