Absolute Value: / 1/2x + 1/3 / = 2 how would i solve this?

Answer 1

┃1/2x + 1/3┃= 2

1/2x + 1/3 = 2

6(1/2x) + 6(1/3) = 6(2)

3x + 2 = 12

3x + 2 - 2 = 12 - 2

3x = 10

3x/3 = 10/3

x = 10/3

x = 3 1/3

- - - - - - - - -s-

Answer 2

Just pretend those absolute value lines aren't there in this case:
1/2x=6/3-1/3
x=10/3
Absolute value makes a difference when an unknown (x) can be either positive or negative (like in the case od a square root etc). In this case it doesn't make a difference in how you solve for x.
For example distances in general tend to have the absolute value sign automatically on them since distance can never be a negative number. Here, you just ignore the absolute value and solve for x. You can even put the absolute value sign on your x, but it's not necessary.

Answer 3

hmmmm - not sure this is correct

subtract 1/3 from both sides (it's an equation)

1/2 x = 1 2/3

multiply both sides by 2

x = 3 1/3

is that what you mean by absolute value?

Answer 4

The answer above nailed it

Answer 5

Can you use the |X| symbol instead of /x/ symbol please? You are getting me confused.