# How do you solve |3x + 2| = 14?

Mar 14, 2016

$x = 4 , - \frac{16}{3}$

#### Explanation:

color(blue)(|\3x+2|=14

Absolute value

$\therefore$ Absolute value is always positive

Eg.$| 6 - 7 | = 1$

But $| 6 - 7 |$ actually equals $1$ and $- 1$

So,$| \setminus 3 x + 2 | = 14 , - 14$

Solve for the first value

$\rightarrow 3 x + 2 = 14$

$\rightarrow 3 x = 14 - 2$

$\rightarrow 3 x = 12$

rArrcolor(green)(x=12/3=4

Then, solve for the second value

$\rightarrow 3 x + 2 = - 14$

$\rightarrow 3 x = - 14 - 2$

$\rightarrow 3 x = - 16$

rArrcolor(green)(x=-16/3