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

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



2/3x-5=1/3x+2
We move all terms to the left:
2/3x-5-(1/3x+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
2/3x-1/3x-2-5=0
We multiply all the terms by the denominator
-2*3x-5*3x+2-1=0
We add all the numbers together, and all the variables
-2*3x-5*3x+1=0
Wy multiply elements
-6x-15x+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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