5(k-1)+8=7(-1+k)+3k

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Solution for 5(k-1)+8=7(-1+k)+3k equation: 



5(k-1)+8=7(-1+k)+3k

We move all terms to the left:

5(k-1)+8-(7(-1+k)+3k)=0

We add all the numbers together, and all the variables

5(k-1)-(7(k-1)+3k)+8=0

We multiply parentheses

5k-(7(k-1)+3k)-5+8=0



We calculate terms in parentheses: -(7(k-1)+3k), so:

7(k-1)+3k

We add all the numbers together, and all the variables

3k+7(k-1)

We multiply parentheses

3k+7k-7

We add all the numbers together, and all the variables

10k-7

Back to the equation:

-(10k-7)



We add all the numbers together, and all the variables

5k-(10k-7)+3=0

We get rid of parentheses

5k-10k+7+3=0

We add all the numbers together, and all the variables

-5k+10=0

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

-5k=-10

k=-10/-5

k=+2

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