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justin has 3x+12 songs jim has 5x-4 songs if they both have the same number of songs how many songs do they each have? 



Answer :

luana
[tex]*\\Justin's\ songs-\ \ 3x+12\\ Jim's\ songs-\ \ 5x-4\\\\The\ same\ amount\ so:\\ 3x+12=5x-4\ \ \ |Subtract\ 3x\\ 12=2x-4\ \ \ |Add\ 4\\ 16=2x\ \ |Divide\ by\ 2\\ x=8\\\\3x+12=3*8+12=24+12=36\\5x-4=5*8-4=40-4=36\\\\ Justin\ has\ 36\ sons\ and\ Jim\ has\ also\ 36\ songs.[/tex]
according to the quesiton;

3x + 12 = 5x -4
12 + 4 = 5x - 3x
      16 = 2x
 16 / 2 = x
       8 = x
       x = 8

Now, substituting the value of "x" in one of the equation, we get,
3x + 12
= 3 (8) + 12 
= 24 + 12
= 36

5x- 4 = 36 ...........because according to the question, 3x + 12 = 5x - 4

So, each of them have 36 songs