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

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



(x+3)/(x-3)=5
We move all terms to the left:
(x+3)/(x-3)-(5)=0
Domain of the equation: (x-3)!=0
We move all terms containing x to the left, all other terms to the right
x!=3
x∈R
We multiply all the terms by the denominator
(x+3)-5*(x-3)=0
We multiply parentheses
(x+3)-5x+15=0
We get rid of parentheses
x-5x+3+15=0
We add all the numbers together, and all the variables
-4x+18=0
We move all terms containing x to the left, all other terms to the right
-4x=-18
x=-18/-4
x=4+1/2

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