1/5k-2=3/5k+4

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Solution for 1/5k-2=3/5k+4 equation:



1/5k-2=3/5k+4
We move all terms to the left:
1/5k-2-(3/5k+4)=0
Domain of the equation: 5k!=0
k!=0/5
k!=0
k∈R
Domain of the equation: 5k+4)!=0
k∈R
We get rid of parentheses
1/5k-3/5k-4-2=0
We multiply all the terms by the denominator
-4*5k-2*5k+1-3=0
We add all the numbers together, and all the variables
-4*5k-2*5k-2=0
Wy multiply elements
-20k-10k-2=0
We add all the numbers together, and all the variables
-30k-2=0
We move all terms containing k to the left, all other terms to the right
-30k=2
k=2/-30
k=-1/15

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