SOLUTION: 2x/5-x/3=5 I'm not understanding how to compute fractions and getting common #

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Question 341919: 2x/5-x/3=5 I'm not understanding how to compute fractions and getting common #
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%29%2F5+-+x%2F3+=+5
The key is that if you multiply both sides of the equation by
the same number, the equation does not change
The question then is:
What number do you multiply both sides by?
Let me make up my own problem to show you:
1%2F2+%2B+1%2F3+%2B+1%2F4+%2B+1%2F5+%2B+1%2F6+%2B+1%2Fx+=+5
You must multiply BOTH sides by a number that can be
divided by 2,3,4,5,6, and x without any remainder
I'll takes a guess- how about 30?
Sorry, 30/4 = 7 and 1/2 remainder
How about 60?
Bingo!
60/2 = 30
60/3 = 20
60/4 = 15
60/5 = 12
60/6 = 10
But what do I do with the x?
How do I know if x goes into 60 with no remainder?
The answer is to multiply 60 by x, and then I know
60x/x = 60 hence, no remainder
Now I'll do the work:

30x+%2B+20x+%2B+15x+%2B+12x+%2B+10x+%2B+60+=+120x
87x+%2B+60+=+120x
33x+=+60
x+=+60%2F33
The answer is not important, but the method is.