Question

Solve for the variable. show all work .

|2x-3|=15

Answer 1

X=9

Explanation:

|2x-3|=15

move 3 over(add 3 to each side)

|2x|=18

Divide by 2, so X is alone

X=9

Answer 2

Hey there!

`| 2x - 3|`
`= 15`

Remove your vertical bar (
`|` )

Then your equation will become:
`2x - 3`
`= 15`

Your possibility
`1` can look like this ↓

Firstly, add by the number
`3` on each of your sides

`2x - 3 +3`
`= 15 +3`

Cancel out:
`3 +3`

Keep:
`15+3`

`15 +3`
`= 18`

We get:
`2x= 18`

Nextly, divide by
`2` on each of your sides

Like:
`(2x)/(2) = (18)/(2)`

Cancel:
`(2x)/(2)`

Keep:
`(18)/(2)` because it gives you a value of your
`x` value

`\boxed {x= 9}`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Your second possibility of
`x` could written out as ↓

Firstly, add
`3` on your sides once again

`2x - 3 +3`
`=-15 + 3`

Cancel:
`-3 + 3`

Keep:
`-15 +3`

`-15+ 3`
`= -12`

We get:
`-12`

Our equation becomes:
`2x = -12`

Divide by the number
`2` on each of your sides

`(2x)/(2) =  (-12)/(2)`

Cancel:
`(2x)/(2)`

Keep:
`(-12)/(2)`

`(-12)/(2)`
`= -6`

`\boxed { x= -6}`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Therefore your answer is most likely:
`\boxed{x = 9 }` or
`\boxed{x = -6}`

Good luck on your assignment and enjoy your day!

~
`LoveYourselfFirst:)`