I'm confused with simplifying expressions with brackets and parantheses... Can someone give me step by step help with this problem?

Question

nnesha · Answer

let's deal with the bracket first  whenever u see negative sign outside the paretheses first you should use distributive   property $$[(6x ^{2}+3x+2)\color{ReD}{-(3x ^{2}-4x+5)}]-(x ^{2}+4x-5)$$ distribute parentheses by negative one

jaylelile · Answer

$$[(6x ^{2}+3x+2)-(-3x ^{2}-4x+5)]-(x ^{2}+4x-5)$$

nnesha · Answer

let's deal with the bracket first  whenever u see negative sign outside the paretheses first you should use distributive   property $$[(6x ^{2}+3x+2)\color{ReD}{-(-3x ^{2}-4x+5)}]-(x ^{2}+4x-5)$$ distribute parentheses by negative one

jaylelile · Answer

so after distribution my equation looks like $$[6x ^{2}+3x+2+3x ^{2}+4x-5]-(x ^{2}+4x-5)$$

nnesha · Answer

right now combine like terms in the bracket 
and then distribute parentheses by  negative one :=)

jaylelile · Answer

so the answer I got was $$8x ^{2}+3x+8$$

nnesha · Answer

$$[\color{ReD}{6x ^{2}+3x+2+3x ^{2}+4x-5}]-(x ^{2}+4x-5)$$
what are like terms in the bracket ?

jaylelile · Answer

$$6x ^{2} + 3x ^{2} =9x ^{2}, 3x + 4x =7x , 2+ (-5) =3$$

nnesha · Answer

hmme 2 +(-5 ) isn't positive 3 
remember if the bigger number is negative then answer would be negative :=)

jaylelile · Answer

so it's -3. is that where I went wrong in my answer?

nnesha · Answer

yes ::=)

jaylelile · Answer

ohhhh so I'm just bad at adding negatives and positives in my head. lol Thank you so much!!!!

nnesha · Answer

np :=)

nnesha · Answer

good work btw :=)