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 181564This 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

Found 2 solutions by Earlsdon, josmiceli:
Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website!
You can't really "solve" an expression such as you have here but you certainly can "simplify" it, so we'll show how that's done.
3{[7(x-2)+4]-[2(2x-5)+6]} The different parentheses don't have any particular meaning and are used only as a grouping symbol. To simplify this expression, start on the inner parentheses (), then go on to the curly brackets {}, then to the square brackets [].
3{[7(x-2)+4]-[2(2x-5)+6]} Apply the "distributive property" on 7(x-2) = 7x-14 and 2(2x-5)=4x-10, to get:
3{[7x-14+4]-[4x-10+6]} Now simplify the quantities inside the square brackets []
3{[7x-10]-[4x-4]} Now you can combine the insides of the two square brackets and, of course, remember to change the sign of the second group.
3{7x-10-4x+4} Combine like-terms inside the curly brackets {}.
3{3x-6} Finally, apply the distributive property to get:
9x-18 as the answer.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Where you have parentheses in an expression, you can always
work from the inside out. It doesn't really matter what the
parentheses look like, but they must come in pairs ( )

The parenthsis after the is paired with the one that's
all the way at the end
The subtraction performed by the minus sign in the middle is:

Starting in the inside, work on these expressions first

Now put this back where it came from

answer