What is (2x+6)/(4x-12) ?

The solution to (2x+6)/(4x-12) is (x+3)/(2(x-3))

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

simplify

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

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

Solution steps

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

Factor

2 x + 6 : 2 (x + 3)

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

Factor

4 x - 12 : 4 (x - 3)

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

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