1.The distance on the number line from -10 to -2 equals 5x – 12. What is the value of x?
2.The distance on the number line from 5 to 12 equals 3x – 2. What is the value of x?

Question

1.The distance on the number line from -10 to -2 equals 5x – 12. What is the value of x?
2.The distance on the number line from 5 to 12 equals 3x – 2. What is the value of x?

anonymous · Answer

Is this question from a test ?

anonymous · Answer

why -10-12 ? shouldnt it be -10 +2 ?

igreen · Answer

Huh..?

It says: "The distance on the number line from -10 to -2"

So it's not + 2, it's - 2.

anonymous · Answer

Yes but isnt -10-(-2) =-10 +2 ?

kittiwitti1 · Answer

$$| -10 - (-2) | = 5x - 12$$$$| -10 + 2 | = 5x -12~which~becomes~ |-8| = 5x-12~and~then~8=5x-12.$$Solve for x.

anonymous · Answer

-10 -2=5x-12 
-12 + 12 = 5x 
0= 5x
0= x ??

kittiwitti1 · Answer

... no, did you read my explanation?

anonymous · Answer

Yes sorry 
I think I understand ! Thank you !

kittiwitti1 · Answer

Okay. xD
You still need help on the second one or no? c:

anonymous · Answer

8=5x−12
 20 = 5x 
 4= x

kittiwitti1 · Answer

Wut. xD

kittiwitti1 · Answer

Oh! Yeah, you got it right!
Good job ^^

anonymous · Answer

I will try to do it alone thank you

anonymous · Answer

@kittiwitti1 
|5−12|=3x−2
|-7|=3x−2
7=3x-2
9=3x
3= x 

Is that correct ?