SOLUTION: Can you answer the proprtional problem... x-1/x+2 = 3x-2/8x ?

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Question 29881: Can you answer the proprtional problem... x-1/x+2 = 3x-2/8x ?
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x-1%29%2F%28x%2B2%29+=+%283x-2%29%2F8x+ if this is the appropriate format the solution is as follows ...
+%28x-1%29%2F%28x%2B2%29+=+%283x-2%29%2F8x+ cross multiply and set the quantities equal to one another
+%28x-1%29%288x%29+=+%28x%2B2%29%283x-2%29+ Distribute the 8x
+8x%5E2+-+8x+=+%28x%2B2%29%283x-2%29+ Foil the right side
F: x * 3x = 3x^2
O: -2 * x = -2X
I:2* 3x = 6x
L: 2 * -2 = -4
+8x%5E2+-+8x+=+3x%5E2+-+2x+%2B+6x+-+4+ Combine like terms
+8x%5E2+-+8x+=+3x%5E2+%2B+4x+-+4+ Move everything to the left side
+5x%5E2+-+12x+%2B+4+=+0+ factor
+%285x-2%29%28x-2%29+=+0+ set each piec equal to 0
+5x-2=0+ or +x-2=0+
+5x=2+ or +x=2+
x+=+2%2F5+
final answer : x = { 2/5 , 2 }