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1/3x+7=4/3x+1
We move all terms to the left:
1/3x+7-(4/3x+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-4/3x-1+7=0
We multiply all the terms by the denominator
-1*3x+7*3x+1-4=0
We add all the numbers together, and all the variables
-1*3x+7*3x-3=0
Wy multiply elements
-3x+21x-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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