10-1/5x=2/5x+1

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Solution for 10-1/5x=2/5x+1 equation: 



10-1/5x=2/5x+1

We move all terms to the left:

10-1/5x-(2/5x+1)=0



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R





Domain of the equation: 5x+1)!=0

x∈R



We get rid of parentheses

-1/5x-2/5x-1+10=0

We multiply all the terms by the denominator


-1*5x+10*5x-1-2=0

We add all the numbers together, and all the variables

-1*5x+10*5x-3=0

Wy multiply elements

-5x+50x-3=0

We add all the numbers together, and all the variables

45x-3=0

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

45x=3

x=3/45

x=1/15

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