(x-1)/(x+7)=4/5

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Solution for (x-1)/(x+7)=4/5 equation: 



(x-1)/(x+7)=4/5

We move all terms to the left:

(x-1)/(x+7)-(4/5)=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-1)/(x+7)-(+4/5)=0

We get rid of parentheses

(x-1)/(x+7)-4/5=0

We calculate fractions


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

We multiply all the terms by the denominator


(5x-5)+(-4x-28)=0

We get rid of parentheses

5x-4x-5-28=0

We add all the numbers together, and all the variables

x-33=0

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

x=33

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