Question

2|3x−2|=14 (solve for x)

Answer 1

2π[3π–2]=14

2π +1π=14

3π=14

π=4.66

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Answer 2

`x=-(5)/(3)\quad \mathrm{or}\quad \:x=3`

Explanation:

`2\left|3x-2\right|=14`

⇒ Divide both sides by 2

`(2\left|3x-2\right|)/(2)=(14)/(2)`

`\left|3x-2\right|=7`

⇒ Now, apply absolute rule:- if |x|=a,a > a than x=a or x=-a

`3x-2=-7\quad`

or...

`3x-2=7`

Now,

`3x-2=-7`

⇒ Add 2 to both sides:-

`3x-2+2=-7+2`

`3x=-5`

⇒ Divide both sides by 3:-

`(3x)/(3)=(-5)/(3)`

`x=-(5)/(3)`

`3x-2=7`

⇒ Add 2 to both sides:-

`3x-2+2=7+2`

`3x=9`

⇒ Divide both sides by 3:-

`(3x)/(3)=(9)/(3)`

`x=3`

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