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Expand & Simplify -3/4(3x+2)-2  

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tame25 | Student, Grade 9 | eNoter

Posted March 27, 2011 at 3:50 PM via web

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Expand & Simplify

-3/4(3x+2)-2

 

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Top Answer

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted March 27, 2011 at 4:04 PM (Answer #1)

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We have to expand and simplify -3/4(3x+2)-2

I hope I have the part in the numerator and the denominator right and the expression is (-3/4)(3x + 2) - 2

=> (-3/4)(3x) - (3/4)(2) - 2

=> -9x/4 - 3/2 - 2

=> -9x/4 - 7/2

The required simplified result is -9x/4 - 7/2

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giorgiana1976 | College Teacher | Valedictorian

Posted March 27, 2011 at 7:27 PM (Answer #2)

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To solve this exercise properly, you'll have to write it according to mathematic rules.

For instance, because of the lack of brackets, we do not know if the first factor is the fraction (-3/4) or just (4).

If it is (4), we'll solve it in this way:

-3/(12x + 8) - 2 (we have opened the brackets from denominator)

We'll multiply -2 by the denominator (12x+8)

(-3 - 2*(12x + 8))/(12x+8)

(-3 - 24x - 16)/(12x + 8)

We'll combine like terms:

(-19-24x)/(12x + 8)

The  result of the expression above, written in this manner -3/4(3x+2)-2, is (-19-24x)/(12x + 8).

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namji | Elementary School Teacher | eNoter

Posted April 9, 2011 at 5:40 PM (Answer #3)

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In order to expand -3/4(3x+2)-2, you'd have to multiply each component in the bracket by what's in front of the bracket.

So, it would be (-3/4*3x) + (-3/4*2) -2  you're done with expanding!

then if you calculate it, it would be (-9/4x)+(-3/2)-2

Second, to simplify this, you only need to add -3/2 and -2 (fraction wise ,-4/2)together.

So the final result would be -9/4x-7/2.

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atyourservice | Student, Grade 10 | Valedictorian

Posted August 15, 2014 at 3:18 AM (Answer #4)

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`-3/4(3x + 2) - 2`

distribute the -3/4 to the 3x and the 2:

`(-9x)/4 - 3/2 - 2`

convert the 2/4 into a fraction (4/2)

`(-9x)/4 - 3/2 - 4/2`

combine like terms:

`(-9x)/4 - 7/2`

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