Simplify (2x+6)/(4x-12)

$\frac{2 x + 6}{4 x - 12}$

Step 1

Cancel the common factor of $2 x + 6$ and $4 x - 12$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 6}{4 x - 12}$

Factor $2$ out of $6$ .

$\frac{2 x + 2 \cdot 3}{4 x - 12}$

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

$\frac{2 (x + 3)}{4 x - 12}$

Cancel the common factors.

Factor $2$ out of $4 x$ .

$\frac{2 (x + 3)}{2 (2 x) - 12}$

Factor $2$ out of $- 12$ .

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

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

Factor $2$ out of $2 x$ .

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

Factor $2$ out of $- 6$ .

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

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

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

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

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