(4+x)/(x+7)=5/4

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Solution for (4+x)/(x+7)=5/4 equation: 



(4+x)/(x+7)=5/4

We move all terms to the left:

(4+x)/(x+7)-(5/4)=0



Domain of the equation: (x+7)!=0

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

x!=-7

x∈R



We add all the numbers together, and all the variables

(x+4)/(x+7)-(+5/4)=0

We get rid of parentheses

(x+4)/(x+7)-5/4=0

We calculate fractions


(4x+16)/(4x+28)+(-5x-35)/(4x+28)=0

We multiply all the terms by the denominator


(4x+16)+(-5x-35)=0

We get rid of parentheses

4x-5x+16-35=0

We add all the numbers together, and all the variables

-1x-19=0

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

-x=19

x=19/-1

x=-19

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