SOLUTION: 2X+3/2X+5=5X+4/5X+2

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Question 217821: 2X+3/2X+5=5X+4/5X+2
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
2x+3/2x+5=5x+4/5x+2
20/10x+15/10x+50/10=50/10x+8/10x+20/10
35/10x+15/10=58/10x+20/10
5/10=23/10x
x=(23/10)(10/5)
x=230/50=4 3/5

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
2X+3/2X+5=5X+4/5X+2

%282X+%2B+3%29%2F%282X+%2B+5%29=%285X+%2B+4%29%2F%285X+%2B+2%29

(2x + 3)(5x + 2) = (2x + 5)(5x + 4) ----- Cross-multiplying

10x%5E2+%2B+19x+%2B+6+=+10x%5E2+%2B+33x+%2B+20

10x%5E2-10x%5E2%2B19x+-+33x+=+20+-+6

- 14x = 14

x = 14%2F-14 = highlight_green%28-1%29