Question

4(x + 6) = 6(x − 2)
I did: 4(x)+4(6)=6(x)-6(2)
4x+24=6x-12
10x+24-12
10x+12
Then I got stuck.

Answer 1

why did you lose an equal sign?

Answer 2

oh! i see what I did.
4x+24=6x-12
10x+24=-12
10x=-36

Answer 3

your step after this one:

4x+24=6x-12

is wrong. you need to subtract 6x from both sides. then subtract 24 from both sides.

Answer 4

yup that was the second mistake

Answer 5

so i subtract 6x from 4x?

Answer 6

yes

Answer 7

Why is it that i subtract 6x?

Answer 8

think of it like this:

4x + 24 = 6x - 12
4x + 24 - 6x = 6x - 12 -6x <-- this gets rid of the 6x from the right-hand-side

Answer 9

the idea is to keep the equation "balanced".
so whatever you do to one side, you also need to do to the other side.

Answer 10

I got x= -18 and thank you for explaining that!

Answer 11

yw :)
however, I don't believe you have the right answer.

Answer 12

what did you get after subtracting 6x from both sides?

Answer 13

i got:
2x+24=-12
-24 -24
2x=-36
-------
2x 2x
x= -18

Answer 14

4x - 6x does not equal 2x ---> you are missing a minus sign

Answer 15

sorry typo. i did do -2x on paper.

Answer 16

so you should have ended up with:

-2x + 24 = -12

Answer 17

yes.

Answer 18

now subtract 24 from both sides - what do you end up with?

Answer 19

are you stuck?

Answer 20

-2x=-36
--------
-2x -2x
x=18
The site locked up.

Answer 21

thats the correct answer now - well done! ::)

Answer 22

yay!! thank you again!

Answer 23

yw :)