SOLUTION: 3/x-2 + 4/5 = 27/5(x-2)

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Question 1038733: 3/x-2 + 4/5 = 27/5(x-2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a common denominator, 5%28x-2%29
%285%2A3%29%2F%285%28x-2%29%29%2B%284%28x-2%29%29%2F%285%28x-2%29%29=27%2F%285%28x-2%29%29
15%2F5%28x-2%29%2B%284x-8%29%2F%285%28x-2%29%29=27%2F%285%28x-2%29%29
%2815%2B4x-8%29%2F%285%28x-2%29%29=27%2F%285%28x-2%29%29
%284x%2B7%29%2F%285%28x-2%29%29=27%2F%285%28x-2%29%29
Equating numerators,
4x%2B7=27
4x=20
x=5