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2/3x=5/3x+7
We move all terms to the left:
2/3x-(5/3x+7)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+7)!=0We get rid of parentheses
x∈R
2/3x-5/3x-7=0
We multiply all the terms by the denominator
-7*3x+2-5=0
We add all the numbers together, and all the variables
-7*3x-3=0
Wy multiply elements
-21x-3=0
We move all terms containing x to the left, all other terms to the right
-21x=3
x=3/-21
x=-1/7
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