2/8=(k+8)/5

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Solution for 2/8=(k+8)/5 equation: 



2/8=(k+8)/5

We move all terms to the left:

2/8-((k+8)/5)=0

We calculate fractions


(-((k+8)*8)/()+()/()=0



We calculate terms in parentheses: +(-((k+8)*8)/()+()/(), so:

-((k+8)*8)/()+()/(

We add all the numbers together, and all the variables

-((k+8)*8)/()+1

We multiply all the terms by the denominator


-((k+8)*8)+1*()



We calculate terms in parentheses: -((k+8)*8), so:

(k+8)*8

We multiply parentheses

8k+64

Back to the equation:

-(8k+64)



We add all the numbers together, and all the variables

-(8k+64)

We get rid of parentheses

-8k-64

Back to the equation:

+(-8k-64)



We get rid of parentheses

-8k-64=0

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

-8k=64

k=64/-8

k=-8

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