SOLUTION: -2/3 x = 5/9 the answer is -5/6 Im having problems solving linear equations with fractions can anyone give me a full break down as per why the an

Algebra ->  Linear-equations -> SOLUTION: -2/3 x = 5/9 the answer is -5/6 Im having problems solving linear equations with fractions can anyone give me a full break down as per why the an      Log On


   

Question 346196: -2/3 x = 5/9 the answer is -5/6

Im having problems solving linear equations with fractions can anyone give me a full break down as per why the answer is -5/6? i know -2/3 has to get multiplied to both sides for the x to be alone but i'm lost after that.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28-2%2F3%29x+=+5%2F9+
Multiply both sides by the multiplicative inverse of (-2%2F3) which is (-3%2F2),
%28-3%2F2%29%28-2%2F3%29x+=+%28-3%2F2%29%285%2F9%29+
%28-6%2F-6%29x=-15%2F18
%281%29x=-%285%2A3%29%2F%286%2A3%29
x=-%285%2F6%29%283%2F3%29
x=-%285%2F6%29%281%29
highlight%28x=-5%2F6%29