2/5x+1=1/5x-4

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Solution for 2/5x+1=1/5x-4 equation: 



2/5x+1=1/5x-4

We move all terms to the left:

2/5x+1-(1/5x-4)=0



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R





Domain of the equation: 5x-4)!=0

x∈R



We get rid of parentheses

2/5x-1/5x+4+1=0

We multiply all the terms by the denominator


4*5x+1*5x+2-1=0

We add all the numbers together, and all the variables

4*5x+1*5x+1=0

Wy multiply elements

20x+5x+1=0

We add all the numbers together, and all the variables

25x+1=0

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

25x=-1

x=-1/25

x=-1/25

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