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1/3x+6=2/3x+10
We move all terms to the left:
1/3x+6-(2/3x+10)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+10)!=0We get rid of parentheses
x∈R
1/3x-2/3x-10+6=0
We multiply all the terms by the denominator
-10*3x+6*3x+1-2=0
We add all the numbers together, and all the variables
-10*3x+6*3x-1=0
Wy multiply elements
-30x+18x-1=0
We add all the numbers together, and all the variables
-12x-1=0
We move all terms containing x to the left, all other terms to the right
-12x=1
x=1/-12
x=-1/12
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