Question

DO NOT READ UNLESS YOU ARE @hartnn
Solve the following linear equation for x.
2x + 7 = 2(6 + x) – 4
A. x = -2
B. x = 5/2

@hartnn Can you explain this without giving me the answer? :p

Answer 1

elimination method again ?

Answer 2

or would you prefer solving it ?

Answer 3

I think others can help you rather than just hartnn.. ._.

Answer 4

I know @beccaboo333 I just don't want the question to get a ton of answer, cause then I'll get confused. :)

@hartnn Which ever way is best. :p I just don't want an answer. I wanna know how to do it.

Answer 5

lets try solving it! because you won't always get choices...

Answer 6

2(6 + x) = ...

know distributive property ?

Answer 7

LOL! u should change the title or else everyone would be interested to read

Answer 8

\(\Large ☺(☻+♥)=☺☻+☺♥\)
\(\Large 2(6+x) = ...\)

Answer 9

26 + 2x?

Answer 10

its not just putting numbers together, its multiplication! :)

\(2 (6+x) = 2\times 6 + 2 \times x = 12+2x\)

got this ?

Answer 11

yes. :)

Answer 12

good!
so now we have
2x+7 = 12+2x -4

can you try to simplify this ??
(combine like terms)

Answer 13

What does X equal?

Answer 14

let 'x' be 'x' only
its a variable.

combine 12 and -4

12-4 = ..?

Answer 15

-48?

Answer 16

12-4 is 8

2x+7 = 8+2x

Answer 17

Oh! I thought you meant 12x-4! :)

Answer 18

now subtract 2x from both sides!

\(2x-2x+7 = 8+2x-2x\)

Answer 19

and 2x-2x = (2-2)x = 0

Answer 20

so what are you left with ?

Answer 21

2?

Answer 22

\(2x-2x+7 = 8+2x-2x \\ 0+7 = 8+0 \\ 7=8
\)

is this even possible ?

Answer 23

Oh! Typo sorry. :) My key board gets jammed. :) 5/2

Answer 24

not 5/2

is "no solution" one of the choices ?

Answer 25

Oh, yeah I didn't even see that. :)

Answer 26

thats because we got
7=8
which is not possible for any value of x
so no solutions

Answer 27

I see. :)