(x-5)/(x-7)=2/3

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Solution for (x-5)/(x-7)=2/3 equation:



(x-5)/(x-7)=2/3
We move all terms to the left:
(x-5)/(x-7)-(2/3)=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-5)/(x-7)-(+2/3)=0
We get rid of parentheses
(x-5)/(x-7)-2/3=0
We calculate fractions
(3x-15)/(3x-21)+(-2x+14)/(3x-21)=0
We multiply all the terms by the denominator
(3x-15)+(-2x+14)=0
We get rid of parentheses
3x-2x-15+14=0
We add all the numbers together, and all the variables
x-1=0
We move all terms containing x to the left, all other terms to the right
x=1

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