# How do you simplify (6-2x)/( 4x-12)?

Nov 1, 2015

You can factor the denominator.

#### Explanation:

$= \frac{6 - 2 x}{2 \cdot \left(2 x - 6\right)}$

Also, you can write the numerator as $- 1 \cdot \left(- 6 + 2 x\right)$
Which is the same as $- 1 \cdot \left(2 x - 6\right)$

We now get:

$\frac{- 1 \cdot \left(\cancel{2 x - 6}\right)}{2 \cdot \left(\cancel{2 x - 6}\right)} = \frac{- 1}{2} = - \frac{1}{2}$