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2/3x+9=7/3x-6
We move all terms to the left:
2/3x+9-(7/3x-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-7/3x+6+9=0
We multiply all the terms by the denominator
6*3x+9*3x+2-7=0
We add all the numbers together, and all the variables
6*3x+9*3x-5=0
Wy multiply elements
18x+27x-5=0
We add all the numbers together, and all the variables
45x-5=0
We move all terms containing x to the left, all other terms to the right
45x=5
x=5/45
x=1/9
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