SOLUTION: I really need help with solving 3-step equations can you please tell me the answer to 2r+5(3r+1)-< 7+3(r-6)-12 Give me the steps I have to show my work.

Algebra ->  Inequalities -> SOLUTION: I really need help with solving 3-step equations can you please tell me the answer to 2r+5(3r+1)-< 7+3(r-6)-12 Give me the steps I have to show my work.       Log On


   

Question 544990: I really need help with solving 3-step equations can you please tell me the answer to 2r+5(3r+1)-< 7+3(r-6)-12 Give me the steps I have to show my work.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2r%2B5%283r%2B1%29%3C=7%2B3%28r-6%29-12 Start with the given inequality.


2r%2B15r%2B5%3C=7%2B3r-18-12 Distribute.


17r%2B5%3C=7%2B3r-18-12 Combine like terms on the left side.


17r%2B5%3C=3r-23 Combine like terms on the right side.


17r%3C=3r-23-5 Subtract 5 from both sides.


17r-3r%3C=-23-5 Subtract 3r from both sides.


14r%3C=-23-5 Combine like terms on the left side.


14r%3C=-28 Combine like terms on the right side.


r%3C=%28-28%29%2F%2814%29 Divide both sides by 14 to isolate r.


r%3C=-2 Reduce.


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Answer:

So the solution is r%3C=-2


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