(2x)/(x+1)-5/(2x)=2

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Solution for (2x)/(x+1)-5/(2x)=2 equation:



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

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