1/5k-2=3/5k+6

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Solution for 1/5k-2=3/5k+6 equation: 



1/5k-2=3/5k+6

We move all terms to the left:

1/5k-2-(3/5k+6)=0



Domain of the equation: 5k!=0

k!=0/5

k!=0

k∈R





Domain of the equation: 5k+6)!=0

k∈R



We get rid of parentheses

1/5k-3/5k-6-2=0

We multiply all the terms by the denominator


-6*5k-2*5k+1-3=0

We add all the numbers together, and all the variables

-6*5k-2*5k-2=0

Wy multiply elements

-30k-10k-2=0

We add all the numbers together, and all the variables

-40k-2=0

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

-40k=2

k=2/-40

k=-1/20

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