(4x+1)/(2x-5)=-9

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Solution for (4x+1)/(2x-5)=-9 equation: 



(4x+1)/(2x-5)=-9

We move all terms to the left:

(4x+1)/(2x-5)-(-9)=0



Domain of the equation: (2x-5)!=0

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

2x!=5

x!=5/2

x!=2+1/2

x∈R



We add all the numbers together, and all the variables

(4x+1)/(2x-5)+9=0

We multiply all the terms by the denominator


(4x+1)+9*(2x-5)=0

We multiply parentheses

(4x+1)+18x-45=0

We get rid of parentheses

4x+18x+1-45=0

We add all the numbers together, and all the variables

22x-44=0

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

22x=44

x=44/22

x=2

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