9/4=1/(x-1)-5

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Solution for 9/4=1/(x-1)-5 equation:



9/4=1/(x-1)-5
We move all terms to the left:
9/4-(1/(x-1)-5)=0
Domain of the equation: (x-1)-5)!=0
x∈R
We calculate fractions
()/(x-1)+(9x-9)/(x-1)=0
We multiply all the terms by the denominator
(9x-9)+()=0
We add all the numbers together, and all the variables
(9x-9)=0
We get rid of parentheses
9x-9=0
We move all terms containing x to the left, all other terms to the right
9x=9
x=9/9
x=1

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