Expand & Simplify

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

### 4 Answers | Add Yours

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**

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).**

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.

`-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`

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes