(x+5)/(x-6)=3/4

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Solution for (x+5)/(x-6)=3/4 equation: 



(x+5)/(x-6)=3/4

We move all terms to the left:

(x+5)/(x-6)-(3/4)=0



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

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

x!=6

x∈R



We add all the numbers together, and all the variables

(x+5)/(x-6)-(+3/4)=0

We get rid of parentheses

(x+5)/(x-6)-3/4=0

We calculate fractions


(4x+20)/(4x-24)+(-3x+18)/(4x-24)=0

We multiply all the terms by the denominator


(4x+20)+(-3x+18)=0

We get rid of parentheses

4x-3x+20+18=0

We add all the numbers together, and all the variables

x+38=0

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

x=-38

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