my geometrey blog: how do we solve rational proportions?

solving rational expression isn't very hard with the right steps.
take 2x+8/4=5x-1/3

First we got to find the LCM(least common multiple) or LCD (lowest common denominator) 2x+8/4=5x-1/3 which is 12 because the least common multiples of 4 are: 4,8,12,16,20,24,28,32
the least common multiples of 3 are: 3,6,9,12,15,18,21,24,27
now we have do multiply what number for 2x+8/4 with 3 it gives us 6x+24/12
same with the other fraction 5x-1/3 but we multiply it with a 4 it gives us 20x-4/12
next we have you combine them and at this point the denominator is not that important so we can cancel it and we are left we 6x+24=20x-4 (easy)
we have to take way 6x from both sides which leaves us with 24=14x-4
next we add 4 to both sides this will leave 28=14x
divide 14 both side this leaves us with 2=X
we can check2(2)+8/4 will give us 12/4 or 3
and the same with the other fraction 5(2)-1/3 this gives us 9/3 and simplified it is 3
3=3 we did this correctly

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