(4x+6)/(4x-5)=-2

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Solution for (4x+6)/(4x-5)=-2 equation: 



(4x+6)/(4x-5)=-2

We move all terms to the left:

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



Domain of the equation: (4x-5)!=0

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

4x!=5

x!=5/4

x!=1+1/4

x∈R



We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


(4x+6)+2*(4x-5)=0

We multiply parentheses

(4x+6)+8x-10=0

We get rid of parentheses

4x+8x+6-10=0

We add all the numbers together, and all the variables

12x-4=0

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

12x=4

x=4/12

x=1/3

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