Question

WILL FAN AND MEDAL

I'm really not sure that I am working my problem correctly. PLEASE help!! Picture of work attached in comments!!

Answer 1

Attachment?

Answer 2

You don't distribute the 9 to 6 and 3

Answer 3

Took me a minute to get it up, OS lags for me sometimes. I am 98% sure I distributed the 9 properly so that was what I had was correct so far..

Answer 4

....Why is it not distributed?

Answer 5

It's
\[9 + (6x + 3) \neq 9(6x + 3)\]

Answer 6

MY book says to distribute.. you're solving for x.. I'm not quite understanding your explanation..

Answer 7

Whoops, didn't mean to put my in all caps

Answer 8

I'm saying that you are distributing, when it is 9+ (6x + 3). You can't do that, 9 is not being multiplied by the parentheses, it is adding by it.

Answer 9

Ohh, okay.. so then how does one work to solve this?

Answer 10

Because if you don't distribute then I am at an utter loss ;-;

Answer 11

\[-[6x -(4x + 8)] = 9 + (6x + 3)\]

Answer 12

Looks good so far?

Answer 13

Yes that is the equation.

Answer 14

What do you think we should do first?

Answer 15

I really have no clue, you can't combine unlike terms so I would have said distribute but since you can't.. uhmm... I really don't know; I could say subtract 3 from 8 but I know that's not it; I would just be guessing.

Answer 16

You can distribute. We follow PEMDAS

Parentheses(Includes Brackets)
Exponents
Multiplication
Division
Addition
Subtraction

We do brackets first, following PEMDAS.

Answer 17

We do this by distributing the -1 across the left side of the equals sign

Answer 18

\[-6x + (-4x - 8) = 9 + (6x + 3)\]

Answer 19

You just said we can't distribute. And you can't combine unlike terms so we can't do anything inside the brackets and parenthesis; I do kn ow how pemdas works I'm not a complete idiot but if we can't distribute the 9 and 6 into the brackets then you're stuck with that as the answer and I have to solve for x... I'm assuming the -1 came from outside the brackets and is just "known" that it is there?

Answer 20

\[\rightarrow -[6x -(4x + 8)] = 9 + (6x + 3)\]

_1

Answer 21

-1

Answer 22

Okay...so if we distribute that to the left we still can't go any further??

Answer 23

...hello?

Answer 24

\[-6x -4x -8 = 9 + 6x + 3\]

Answer 25

Like terms

\[-10x - 8 = 12 + 6x\]

Answer 26

...Why are the parenthesis just gone??

Answer 27

Because you can't do anything inside them, or anything to them