Question

2|3x−2|=14 (solve for x)

Answer 1

Answer:

2π[3π–2]=14

2π +1π=14

3π=14

π=4.66

it help you

Answer 2

Answer:

$x=-\frac{5}{3}\quad \mathrm{or}\quad \:x=3$

Step-by-step explanation:

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

⇒ Divide both sides by 2

$\frac{2\left|3x-2\right|}{2}=\frac{14}{2}$

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

⇒ 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:-

$\frac{3x}{3}=\frac{-5}{3}$

$x=-\frac{5}{3}$

$3x-2=7$

⇒ Add 2 to both sides:-

$3x-2+2=7+2$

$3x=9$

⇒ Divide both sides by 3:-

$\frac{3x}{3}=\frac{9}{3}$

$x=3$

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