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2/3x+7=8/3x-6
We move all terms to the left:
2/3x+7-(8/3x-6)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-6)!=0We get rid of parentheses
x∈R
2/3x-8/3x+6+7=0
We multiply all the terms by the denominator
6*3x+7*3x+2-8=0
We add all the numbers together, and all the variables
6*3x+7*3x-6=0
Wy multiply elements
18x+21x-6=0
We add all the numbers together, and all the variables
39x-6=0
We move all terms containing x to the left, all other terms to the right
39x=6
x=6/39
x=2/13
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