x-6/3x=x-5/3x+1

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Solution for x-6/3x=x-5/3x+1 equation:



x-6/3x=x-5/3x+1
We move all terms to the left:
x-6/3x-(x-5/3x+1)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+1)!=0
x∈R
We get rid of parentheses
x-6/3x-x+5/3x-1=0
We multiply all the terms by the denominator
x*3x-x*3x-1*3x-6+5=0
We add all the numbers together, and all the variables
x*3x-x*3x-1*3x-1=0
Wy multiply elements
3x^2-3x^2-3x-1=0
We add all the numbers together, and all the variables
-3x-1=0
We move all terms containing x to the left, all other terms to the right
-3x=1
x=1/-3
x=-1/3

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