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