SOLUTION: The name of this book is "Introductory Algebra" By Keedy/Bittinger.6th edition. The page number is 102 problem #37. I am homeschooling my daughter and am having some trouble solv

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Question 181563This question is from textbook introductory algebra
: The name of this book is "Introductory Algebra" By Keedy/Bittinger.6th edition.
The page number is 102 problem #37. I am homeschooling my daughter and am having some trouble solving this problem. Thanks for any help you might can offer.
3{[7(x-2)+4]-[2(2x-5)+6]}
If you could please help to solve this and also explain what the different parentheses mean..
thank you so much
J.T
This question is from textbook introductory algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3{[7(x-2)+4]-[2(2x-5)+6]}
----------------
The parentheses come in pairs; each open parentheses must have a close
parentheses associated with it, Brackets come in pairs and parentheses
come in pairs. They are equal in their meaning.
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3{[7(x-2)+4]-[2(2x-5)+6]}
Rule: work from the inside out.
= 3{[7x-14+4]-[4x-10+6]}
= 3{[7x-10] - [4x-4]}
= 21x - 30 -4x + 4
= 17x - 26
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Cheers,
Stan H.