2x-3/3x+1=2x+5/3x+2

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Solution for 2x-3/3x+1=2x+5/3x+2 equation:



2x-3/3x+1=2x+5/3x+2
We move all terms to the left:
2x-3/3x+1-(2x+5/3x+2)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+2)!=0
x∈R
We get rid of parentheses
2x-3/3x-2x-5/3x-2+1=0
We multiply all the terms by the denominator
2x*3x-2x*3x-2*3x+1*3x-3-5=0
We add all the numbers together, and all the variables
2x*3x-2x*3x-2*3x+1*3x-8=0
Wy multiply elements
6x^2-6x^2-6x+3x-8=0
We add all the numbers together, and all the variables
-3x-8=0
We move all terms containing x to the left, all other terms to the right
-3x=8
x=8/-3
x=-2+2/3

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