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

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



2/3x+2=1/3x-5
We move all terms to the left:
2/3x+2-(1/3x-5)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-5)!=0
x∈R
We get rid of parentheses
2/3x-1/3x+5+2=0
We multiply all the terms by the denominator
5*3x+2*3x+2-1=0
We add all the numbers together, and all the variables
5*3x+2*3x+1=0
Wy multiply elements
15x+6x+1=0
We add all the numbers together, and all the variables
21x+1=0
We move all terms containing x to the left, all other terms to the right
21x=-1
x=-1/21
x=-1/21

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