How do you simplify (x-2)/2 - x/6 + -2 x22x6+2?

1 Answer
Mar 21, 2018

(x-9)/3x93

Explanation:

"note that "+ -2=-2note that +2=2

"we require all terms to have a "color(blue)"common denominator"we require all terms to have a common denominator

"the LCM of 2, 6 and 1 is 6"the LCM of 2, 6 and 1 is 6

rArr(3(x-2))/6-x/6-12/63(x2)6x6126

"simplify the numerator leaving the denominator"simplify the numerator leaving the denominator

=(3x-6-x-12)/6=3x6x126

=(2x-18)/6=(cancel(2)^1(x-9))/cancel(6)^3=(x-9)/3