8(2-k)-4k=-2(5k+9)

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Solution for 8(2-k)-4k=-2(5k+9) equation: 



8(2-k)-4k=-2(5k+9)

We move all terms to the left:

8(2-k)-4k-(-2(5k+9))=0

We add all the numbers together, and all the variables

8(-1k+2)-4k-(-2(5k+9))=0

We add all the numbers together, and all the variables

-4k+8(-1k+2)-(-2(5k+9))=0

We multiply parentheses

-4k-8k-(-2(5k+9))+16=0



We calculate terms in parentheses: -(-2(5k+9)), so:

-2(5k+9)

We multiply parentheses

-10k-18

Back to the equation:

-(-10k-18)



We add all the numbers together, and all the variables

-12k-(-10k-18)+16=0

We get rid of parentheses

-12k+10k+18+16=0

We add all the numbers together, and all the variables

-2k+34=0

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

-2k=-34

k=-34/-2

k=+17

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