3x/(x-1)=3/5

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Solution for 3x/(x-1)=3/5 equation:



3x/(x-1)=3/5
We move all terms to the left:
3x/(x-1)-(3/5)=0
Domain of the equation: (x-1)!=0
We move all terms containing x to the left, all other terms to the right
x!=1
x∈R
We add all the numbers together, and all the variables
3x/(x-1)-(+3/5)=0
We get rid of parentheses
3x/(x-1)-3/5=0
We calculate fractions
15x/(5x-5)+(-3x+3)/(5x-5)=0
We multiply all the terms by the denominator
15x+(-3x+3)=0
We get rid of parentheses
15x-3x+3=0
We add all the numbers together, and all the variables
12x+3=0
We move all terms containing x to the left, all other terms to the right
12x=-3
x=-3/12
x=-1/4

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