(x-7)/(x-5)=-3

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Solution for (x-7)/(x-5)=-3 equation: 



(x-7)/(x-5)=-3

We move all terms to the left:

(x-7)/(x-5)-(-3)=0



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

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

x!=5

x∈R



We add all the numbers together, and all the variables

(x-7)/(x-5)+3=0

We multiply all the terms by the denominator


(x-7)+3*(x-5)=0

We multiply parentheses

(x-7)+3x-15=0

We get rid of parentheses

x+3x-7-15=0

We add all the numbers together, and all the variables

4x-22=0

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

4x=22

x=22/4

x=5+1/2

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