Question

Solve for x: 3|x − 3| + 2 = 14

No solutions

x = −1, x = 8.3

x = 0, x = 7

x = −1, x = 7

Answer 1

Please Help!

Answer 2

Where are you stuck?

Answer 3

i got x = 5 and that isn't one of my options
i did:
3|x − 3| + 2 = 14
- 2 -2
3|x − 3| = 12
+3 +3
3|x| = 15
3/3|x| = 15/3
|x| = 5

Answer 4

no you are suppose to divide by 3

Answer 5

3|x − 3| = 12
|x − 3| = 12/3
|x − 3| = 4

Answer 6

Ah. Try looking at it like this:
3*(|x-3|)+2=14
note: absolute value bars act like parentheses (the above is redundant but underlines the point)

Answer 7

x − 3 = 4

and


-x+3=4

Answer 8

so its x = 7? right

Answer 9

those are the two equations you need to solve

Answer 10

yeah that's one of the answers. what's the other one?

Answer 11

x = -1 or 1?

Answer 12

-x+3=4


solve that

Answer 13

just trial and error the 4 options to see what fits ....

Answer 14

Don't ever do trial an error. A waste of time in tests

Answer 15

-x + 3 = 4
-3 -3
-x = -1
x = 1?

Answer 16

well, 3 are trialable :)

Answer 17

-x + 3 = 4
-3 -3
-x = 1
x = -1?

Answer 18

trial and error is perfect for tests; take an answer optionand see if it fits, if not; youve narrowed it down

Answer 19

you got the signs wrong.

Answer 20

then you want the person to guess?

Answer 21

no, i want the person to "dbl chk" the answer options

Answer 22

ohh okay i see where i made the mistake so the answer would be: x = −1, x = 7

Answer 23

correct "brohoof"

Answer 24

can you help me with 2 more?

Answer 25

Ok post another question.

Answer 26

How many solutions does the equation 2|x − 3| + 4 = 4 have?

Zero

One

Two

Infinitely Many

Answer 27

What if you get a question that doesn't have multiple choice options

Answer 28

3|x − 3| + 2 = 14

does x=0 work?

3|−3| + 2 = 14
9 + 2 = 14 no

does x=7 work?

3|7 − 3| + 2 = 14
12 + 2 = 14 yes

does x=-1 work?

3|-1 − 3| + 2 = 14
12 + 2 = 14 yes

Answer 29

if the question has no "options" then waste the time doing it the long way :)

Answer 30

\[2|x − 3| + 4 = 4 \\ 2|x − 3| + 4-4 = 4-4\\ 2|x − 3| = 0 \\|x − 3| = 0/2 \\ |x − 3| = 0 \]

Answer 31

two equations means two what?

Answer 32

2|x − 3| + 4 = 4
- 4 -4
2|x − 3| = 0
/2 /2
|x-3| = 0
+ 3 +3
|x| = 3?

Answer 33

nice shorthand .... reminds me of someone i know :)

Answer 34

sp their are two solutions right?

Answer 35

well the two solutions you get are the same.....

Answer 36

so I guess it's just one.

Answer 37

ok well last question?

Answer 38

huh? me short hand? what are you talking about?

Answer 39

ok

Answer 40

Solve 3|2x + 2| − 7 = 5 for x.

Answer 41

\[3|2x + 2| − 7 = 5\\ 3|2x + 2| − 7+7 = 5 +7\\3|2x + 2| = 12\\ |2x + 2| = 12/3\\|2x + 2| = 4\]

Answer 42

the two equations are then

2x+2=4
and
-2x-2=4

Answer 43

solve each equation for x.

Answer 44

3|2x + 2| − 7 = 5
+7 +7
3|2x + 2| = 12
/3 /3
|2x + 2| = 4
-2 -2
|2x| = 2
/2 /2
|x| = 1?

Answer 45

|2x + 2| = 4

from this step that you did you have to split it into two equations.

Answer 46

You can't just subtract 2 from inside the absolute value

Answer 47

x = -1
x = 1 right?

Answer 48

oh then what do i do?

Answer 49

|2x + 2| = 4


turns into

2x + 2 = 4
and
-2x - 2 = 4

Answer 50

you have two equations now. Solve x for each one

Answer 51

x = 1
x = -1

Answer 52

no dude you have to solve for each equation

2x + 2 = 4
and
-2x - 2 = 4

Answer 53

i did! and thats what i get

Answer 54

x = -3
x = 1

Answer 55

how about that?

Answer 56

please help @RyanL.

Answer 57

you are right

Answer 58

Really? Okay well thank you soo much!(: im glad you actually helped me out and not just gave me the answer(: