Multiply everything by 4.
(x-2)/2 - (x-8)/4 = 1/2
I think I am supposed to solve this as a proportion... but not sure
I would show my work, but I have tried this so many times it's not funny... I have gotten x=2, x=4, x=6, x=14, x=16... you get it... LOL
any help is greatly appreciated!!!
I ran out the equation like that and got x=4...
(x-2)/2 - (x-8)/4 = 1/2
(4x-8)/2 - (4x-8)/4 = 4/2
(2x-4) - (x-2) = 2
x-2 = 2
x = 4
I know I have to be doing something wrong, just not sure what it is... (btw, how do you get the fractions like that???)
An alternative (better) method is to try to simplify the LHS before trying to solve anything. To do this, you would need to add the fractions, and to add fractions you need a common denominator. In this case, the lowest common denominator is 4.
This explains why multiplying by 4 is appropriate, it's because the simplification of the LHS gives 4 as the denominator, which then needs to be multiplied out.