Question

What is the solution to the equation1/3(9x-6)=2x+3 ?



x =

Answer 1

\(\large\color{black}{ \displaystyle \frac{1}{3}(9x-6)=2x+3 }\) like this?

Answer 2

yeah

Answer 3

alright, can you expand the left side for me?

Answer 4

what is:

1. \(\large\color{black}{ \displaystyle \frac{1}{3} \times 9x }\)

2. \(\large\color{black}{ \displaystyle \frac{1}{3} \times (-6) }\) ?

Answer 5

I don't know what x is I have been trying but I can't

Answer 6

I just want you to answer the 2 questions I asked you above (for now).

Answer 7

can you simplify #1 and #2 ?

Answer 8

1 is? 2 is -2

Answer 9

2 is -2, that is correct.

Answer 10

1 is3x

Answer 11

yes,

Answer 12

So,

\(\large\color{black}{ \displaystyle \frac{1}{3}(9x-6)=2x+3 }\),.

after expanding the left side, becomes,

\(\large\color{black}{ \displaystyle 3x-2=2x+3 }\)

Answer 13

ok so what is x

Answer 14

See what happens?

Answer 15

then, you would need to subtract 2x from both sides

Answer 16

I have:

\(\large\color{black}{ \displaystyle 3x-2=2x+3 }\)



subtract 2x from both sides,

\(\large\color{black}{ \displaystyle 3x-2\color{red}{-2x}=2x+3\color{red}{-2x} }\)

Answer 17

so is the answer 1

Answer 18

is this making sense, how to subtract 2x from both sides?

Answer 19

no, it is not 1.
if you plug in 1 for x, yu will see why it is not 1, because then you get 1=5.

Answer 20

first, can you tell me what you get on each side, after subtracting 2x from both sides as I did.

Answer 21

\(\large\color{black}{ \displaystyle 3x-2\color{red}{-2x}=2x+3 \color{red}{-2x}}\)

\(\large\color{black}{ \displaystyle ?=?}\) what do you get?

Answer 22

yeah subtract 2x from 3x and 2x from 2x then you get 1x - 2=3

Answer 23

sorry I'm lagging

Answer 24

yes, which is same as \(\large\color{black}{ \displaystyle x-2=3}\)

Answer 25

because \(\large\color{black}{ \displaystyle1x}\) is same as \(\large\color{black}{ \displaystyle x}\)

Answer 26

(add 2 to both sides)
I am also lagging, it is alright

Answer 27

\(\large\color{black}{ \displaystyle x-2=3}\)
\(\large\color{black}{ \displaystyle x-2\color{royalblue}{+2}=3\color{royalblue}{+2}}\)

then, \(\large\color{black}{ \displaystyle x=?}\)

Answer 28

so 5 right

Answer 29

yes.

Answer 30

x=5:)

Answer 31

yes, ik.
So I am saying that x=5 is correct.

your solution for x is 5, and that is written as x=5

Answer 32

\(\large\color{black}{ \displaystyle \frac{1}{3}(9x-6)=2x+3}\)

checking:

\(\large\color{black}{ \displaystyle \frac{1}{3}(9\color{green}{(5)}-6)=2\color{green}{(5)}+3}\)

\(\large\color{black}{ \displaystyle \frac{1}{3}(45-6)=10+3}\)

\(\large\color{black}{ \displaystyle \frac{1}{3}(39)=10+3}\)

\(\large\color{black}{ \displaystyle 13=13}\)

Answer 33

any questions?

Answer 34

thanks:)

Answer 35

yw