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

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



(2x-7)/(x-5)=3
We move all terms to the left:
(2x-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 multiply all the terms by the denominator
(2x-7)-3*(x-5)=0
We multiply parentheses
(2x-7)-3x+15=0
We get rid of parentheses
2x-3x-7+15=0
We add all the numbers together, and all the variables
-1x+8=0
We move all terms containing x to the left, all other terms to the right
-x=-8
x=-8/-1
x=+8

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