2(4-5k)=5(2-k)

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



2(4-5k)=5(2-k)

We move all terms to the left:

2(4-5k)-(5(2-k))=0

We add all the numbers together, and all the variables

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

We multiply parentheses

-10k-(5(-1k+2))+8=0



We calculate terms in parentheses: -(5(-1k+2)), so:

5(-1k+2)

We multiply parentheses

-5k+10

Back to the equation:

-(-5k+10)



We get rid of parentheses

-10k+5k-10+8=0

We add all the numbers together, and all the variables

-5k-2=0

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

-5k=2

k=2/-5

k=-2/5

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