solve for x.
-6x/5=-7/6
Negative 6x over 5 (as a fraction) = Negative 7 over 6 (as a fraction)
The LCD is 30 because the smallest integer both 5 and 6 will divide
evenly into is 30. So start with the original equation
-6x -7
----- = -----
5 6
Now multiply both sides by 30, written as 30/1:
30 -6x 30 -7
---- · ----- = ---- · ----
1 5 1 6
Now on the left cancel the 5 in the bottom into the 30 in the top.
Similarly on the right cancel the 6 in the bottom into the 30 in the top,
Upon cancelling, you get 6 on the left, and 5 on the right:
6 5
30 -6x 30 -7
---- · ----- = ---- · ----
1 5 1 6
1 1
Now you have the 6 times the -6x on the left, which gives -36x
Similarly, you have the 5 times the -7 of the right, which gives -35,
so you have:
-36x = -35
Now divide both sides by -36. On the left you will have just x, and
on the right side if you divide -35 by -36 you get +35/36
x = 35/36
Edwin
