Expand & Simplify -3/4(3x+2)-2  

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

`-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`

namji's profile pic

namji | Elementary School Teacher | (Level 1) eNoter

Posted on

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.

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

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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