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