(x+4)/2 = (x-3)/3
you can cross multiply
3(x+4) = 2(x-3)
3x + 12 = 2x - 6
3x = 2x -18
(3x/2x) = -18
the x cancels out and your left with
3 = -18 which is not true
your original statement is false
Okay, but then what would I do for this one when I need to find the least common multiple?
2/3x + 1/2 = 5/6x
I know the LCM is 6, but not sure what goes on after that. I have been doing math all day and really just drawing blanks now. Please explain to me the steps.
The first thing I like to do is bring all the x's to the same side:
Then you bring it all together:
Now you need to subtract those two fractions from each other, so you need to find the least common multiple.
Then you can put it all together:
Then to solve for x, you have to divide away that 1/6:
So now we cross multiply:
and we get: