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2x-5/3x-1=2x-2/3x+2
We move all terms to the left:
2x-5/3x-1-(2x-2/3x+2)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+2)!=0We get rid of parentheses
x∈R
2x-5/3x-2x+2/3x-2-1=0
We multiply all the terms by the denominator
2x*3x-2x*3x-2*3x-1*3x-5+2=0
We add all the numbers together, and all the variables
2x*3x-2x*3x-2*3x-1*3x-3=0
Wy multiply elements
6x^2-6x^2-6x-3x-3=0
We add all the numbers together, and all the variables
-9x-3=0
We move all terms containing x to the left, all other terms to the right
-9x=3
x=3/-9
x=-1/3
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