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

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



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

We move all terms to the left:

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



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R





Domain of the equation: 5x-2)!=0

x∈R



We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

10x+5x-1=0

We add all the numbers together, and all the variables

15x-1=0

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

15x=1

x=1/15

x=1/15

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