How do you simplify (x-2)/2 - x/6 + -2 ?

Mar 21, 2018

$\frac{x - 9}{3}$

Explanation:

$\text{note that } + - 2 = - 2$

$\text{we require all terms to have a "color(blue)"common denominator}$

$\text{the LCM of 2, 6 and 1 is 6}$

$\Rightarrow \frac{3 \left(x - 2\right)}{6} - \frac{x}{6} - \frac{12}{6}$

$\text{simplify the numerator leaving the denominator}$

$= \frac{3 x - 6 - x - 12}{6}$

$= \frac{2 x - 18}{6} = \frac{{\cancel{2}}^{1} \left(x - 9\right)}{\cancel{6}} ^ 3 = \frac{x - 9}{3}$