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Simplify -5(1-x)-3(x+1)

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hannap | Student | eNotes Newbie

Posted January 26, 2012 at 9:42 AM via web

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Simplify -5(1-x)-3(x+1)

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted January 26, 2012 at 9:56 AM (Answer #1)

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-5(1-x) - 3(x+1)

First we will open the brackets by multiplying the constants.

==> -5*1 - 5*-x -3*x -3*1

==> -5 + 5x -3x -3

Now we will combine terms.

==> (5x-3x) -5-3

==> 2x -8

Then, the simplest form is (2x-8).

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najm1947 | Elementary School Teacher | (Level 1) Valedictorian

Posted January 26, 2012 at 11:08 AM (Answer #2)

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-5(1-x)-3(x+1)

First open the barackets (keeping the mathematical conventions in mind that 2 or more operators cannot be combined) as under:

= -5*1 -5(-x) -3*x -3*1

= -5 + 5x -3x -3

re-arrange similar terms (putting the variables first and then constants) and simplyfy:

= +5x - 3x - 5 - 3

= 2x - 8       ....... and this is the simplest form

 

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sjspence | Middle School Teacher | (Level 1) eNoter

Posted January 26, 2012 at 11:57 AM (Answer #3)

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-5(1-x)-3(x+1)

= -5+5x + -3x -3

= -5 + 2x - 3

=-8 +2x

= 2x-8

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted January 26, 2012 at 12:40 PM (Answer #4)

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The expression to be simplified is -5(1-x)-3(x+1)

-5(1-x)-3(x+1)

open the brackets

=> -5 + 5x - 3x - 3

=> 5x - 3x - 5 - 3

=> 2x - 8

The required simplified form is 2x - 8

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