SOLUTION: Can someone please help solve this problem 2/3=2-5x-3/x-1 thank you for your help.

Question 150700This question is from textbook
: Can someone please help solve this problem 2/3=2-5x-3/x-1 thank you for your help. This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Can someone please help solve this problem 2/3=2-5x-3/x-1:
:
Assume you mean:

;
Multiply equation by the common denominator: 3(x-1); results:
2(x-1) = 2(3(x-1)) - 3(5x - 3)
:
do the multiplying to get rid of the brackets
2x - 2 = 6x - 6 - 15x + 9
:
group like terms, x's on the left, no. on the right
2x - 6x + 15x = -6 + 9 + 2
:
11x = 5
x =
;
I'll let you check the solution in the original equation
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