2/3x-5=-1/3x+1

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Solution for 2/3x-5=-1/3x+1 equation: 



2/3x-5=-1/3x+1

We move all terms to the left:

2/3x-5-(-1/3x+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

2/3x+1/3x-1-5=0

We multiply all the terms by the denominator


-1*3x-5*3x+2+1=0

We add all the numbers together, and all the variables

-1*3x-5*3x+3=0

Wy multiply elements

-3x-15x+3=0

We add all the numbers together, and all the variables

-18x+3=0

We move all terms containing x to the left, all other terms to the right

-18x=-3

x=-3/-18

x=1/6

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