3(k+14)=10k-2(k+7)

Solution for 3(k+14)=10k-2(k+7) equation:

3(k+14)=10k-2(k+7)

We move all terms to the left:

3(k+14)-(10k-2(k+7))=0

We multiply parentheses

3k-(10k-2(k+7))+42=0


We calculate terms in parentheses: -(10k-2(k+7)), so:

10k-2(k+7)

We multiply parentheses

10k-2k-14

We add all the numbers together, and all the variables

8k-14

Back to the equation:

-(8k-14)


We get rid of parentheses

3k-8k+14+42=0

We add all the numbers together, and all the variables

-5k+56=0

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

-5k=-56

k=-56/-5

k=11+1/5