SOLUTION: What is the answer to this problem 4(3z-1)-5(z+2)=5(z+1) I need to show my work please!

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Question 696443: What is the answer to this problem 4(3z-1)-5(z+2)=5(z+1) I need to show my work please!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%283z-1%29-5%28z%2B2%29=5%28z%2B1%29 Start with the given equation.


12z-4-5z-10=5z%2B5 Distribute.


-14%2B7z=5z%2B5 Combine like terms on the left side.


7z=5z%2B5%2B14 Add 14 to both sides.


7z-5z=5%2B14 Subtract 5z from both sides.


2z=5%2B14 Combine like terms on the left side.


2z=19 Combine like terms on the right side.


z=%2819%29%2F%282%29 Divide both sides by 2 to isolate z.


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Answer:

So the solution is z=19%2F2