6/x+5/6x-9=4/6x-9

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Solution for 6/x+5/6x-9=4/6x-9 equation: 



6/x+5/6x-9=4/6x-9

We move all terms to the left:

6/x+5/6x-9-(4/6x-9)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R





Domain of the equation: 6x-9)!=0

x∈R



We get rid of parentheses

6/x+5/6x-4/6x+9-9=0

We calculate fractions


36x/6x^2+(-4x+5)/6x^2+9-9=0

We add all the numbers together, and all the variables

36x/6x^2+(-4x+5)/6x^2=0

We multiply all the terms by the denominator


36x+(-4x+5)=0

We get rid of parentheses

36x-4x+5=0

We add all the numbers together, and all the variables

32x+5=0

We move all terms containing x to the left, all other terms to the right

32x=-5

x=-5/32

x=-5/32

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