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