4/3x+2-2/3x=1/x+2

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Solution for 4/3x+2-2/3x=1/x+2 equation:



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

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