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2x+1/x+4=2x-1/x+7
We move all terms to the left:
2x+1/x+4-(2x-1/x+7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+7)!=0We get rid of parentheses
x∈R
2x+1/x-2x+1/x-7+4=0
We multiply all the terms by the denominator
2x*x-2x*x-7*x+4*x+1+1=0
We add all the numbers together, and all the variables
-3x+2x*x-2x*x+2=0
Wy multiply elements
2x^2-2x^2-3x+2=0
We add all the numbers together, and all the variables
-3x+2=0
We move all terms containing x to the left, all other terms to the right
-3x=-2
x=-2/-3
x=2/3
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