3 l x-2 l + 7 = 12 solve for x .

To solve 3|x-2|+7 = 12.

|x-2|
is the positive of the expression (x-2).

So  |x-2| = x-2
when x> 2. And  |x-2| = 2-x , when x <
0.

Therefore when x > 2, the given equation
is:

3(x-2)+7 = 12.

3(x-2) =
12-7 = 5.

x-2 = 5/3.

x = 2+5/3
= 11/3.

When x < 2, the given equation  could be
written as:

3(2-x)+7 = 12.

6
-3x +7 = 12

-3x+13 = 12.

-3x =
12-13 = -1.

x = -1/-3 =
1/3.

x= 1/3.

Therefore from
the cases , the solution we get : x= 11/3 or x= 1/3.