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2/3x-1=4/3x+5
We move all terms to the left:
2/3x-1-(4/3x+5)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+5)!=0We get rid of parentheses
x∈R
2/3x-4/3x-5-1=0
We multiply all the terms by the denominator
-5*3x-1*3x+2-4=0
We add all the numbers together, and all the variables
-5*3x-1*3x-2=0
Wy multiply elements
-15x-3x-2=0
We add all the numbers together, and all the variables
-18x-2=0
We move all terms containing x to the left, all other terms to the right
-18x=2
x=2/-18
x=-1/9
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