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2/3x+9=4/3x-3
We move all terms to the left:
2/3x+9-(4/3x-3)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-3)!=0We get rid of parentheses
x∈R
2/3x-4/3x+3+9=0
We multiply all the terms by the denominator
3*3x+9*3x+2-4=0
We add all the numbers together, and all the variables
3*3x+9*3x-2=0
Wy multiply elements
9x+27x-2=0
We add all the numbers together, and all the variables
36x-2=0
We move all terms containing x to the left, all other terms to the right
36x=2
x=2/36
x=1/18
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