1/2k+4=5/2k-6

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Solution for 1/2k+4=5/2k-6 equation: 



1/2k+4=5/2k-6

We move all terms to the left:

1/2k+4-(5/2k-6)=0



Domain of the equation: 2k!=0

k!=0/2

k!=0

k∈R





Domain of the equation: 2k-6)!=0

k∈R



We get rid of parentheses

1/2k-5/2k+6+4=0

We multiply all the terms by the denominator


6*2k+4*2k+1-5=0

We add all the numbers together, and all the variables

6*2k+4*2k-4=0

Wy multiply elements

12k+8k-4=0

We add all the numbers together, and all the variables

20k-4=0

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

20k=4

k=4/20

k=1/5

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