1/3x+2=5/3x-102

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Solution for 1/3x+2=5/3x-102 equation: 



1/3x+2=5/3x-102

We move all terms to the left:

1/3x+2-(5/3x-102)=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R





Domain of the equation: 3x-102)!=0

x∈R



We get rid of parentheses

1/3x-5/3x+102+2=0

We multiply all the terms by the denominator


102*3x+2*3x+1-5=0

We add all the numbers together, and all the variables

102*3x+2*3x-4=0

Wy multiply elements

306x+6x-4=0

We add all the numbers together, and all the variables

312x-4=0

We move all terms containing x to the left, all other terms to the right

312x=4

x=4/312

x=1/78

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