10(k-9)+8k=10(2+4k)

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Solution for 10(k-9)+8k=10(2+4k) equation: 



10(k-9)+8k=10(2+4k)

We move all terms to the left:

10(k-9)+8k-(10(2+4k))=0

We add all the numbers together, and all the variables

10(k-9)+8k-(10(4k+2))=0

We add all the numbers together, and all the variables

8k+10(k-9)-(10(4k+2))=0

We multiply parentheses

8k+10k-(10(4k+2))-90=0



We calculate terms in parentheses: -(10(4k+2)), so:

10(4k+2)

We multiply parentheses

40k+20

Back to the equation:

-(40k+20)



We add all the numbers together, and all the variables

18k-(40k+20)-90=0

We get rid of parentheses

18k-40k-20-90=0

We add all the numbers together, and all the variables

-22k-110=0

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

-22k=110

k=110/-22

k=-5

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