SOLUTION: Please help me, I do not understand this kind of stuff. This is my 2nd time taking this class. 3(k-2)-6=4k-(3k-1) Thank you

Algebra ->  Equations -> SOLUTION: Please help me, I do not understand this kind of stuff. This is my 2nd time taking this class. 3(k-2)-6=4k-(3k-1) Thank you      Log On


   

Question 257836: Please help me, I do not understand this kind of stuff. This is my 2nd time taking this class.

3(k-2)-6=4k-(3k-1)

Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%28k-2%29-6=4k-%283k-1%29 Start with the given equation.


3k-6-6=4k-3k%2B1 Distribute.


3k-12=4k-3k%2B1 Combine like terms on the left side.


3k-12=k%2B1 Combine like terms on the right side.


3k=k%2B1%2B12 Add 12 to both sides.


3k-k=1%2B12 Subtract k from both sides.


2k=1%2B12 Combine like terms on the left side.


2k=13 Combine like terms on the right side.


k=%2813%29%2F%282%29 Divide both sides by 2 to isolate k.


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Answer:

So the solution is k=13%2F2 which in decimal form is k=6.5.