2(5k+9)+16=6(k+9)+2k

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Solution for 2(5k+9)+16=6(k+9)+2k equation: 



2(5k+9)+16=6(k+9)+2k

We move all terms to the left:

2(5k+9)+16-(6(k+9)+2k)=0

We multiply parentheses

10k-(6(k+9)+2k)+18+16=0



We calculate terms in parentheses: -(6(k+9)+2k), so:

6(k+9)+2k

We add all the numbers together, and all the variables

2k+6(k+9)

We multiply parentheses

2k+6k+54

We add all the numbers together, and all the variables

8k+54

Back to the equation:

-(8k+54)



We add all the numbers together, and all the variables

10k-(8k+54)+34=0

We get rid of parentheses

10k-8k-54+34=0

We add all the numbers together, and all the variables

2k-20=0

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

2k=20

k=20/2

k=10

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