solve for x: 3|2x-1| = 16?

Question

ahhhhhh THOSE ARE ABSOLUTE VALUE LINES, NOT PARENTHESIS!

Answer 1

distrubute: 3*(*=times)-1 and 3*2X= 6X-3=16
+3 +3
6X=19
divide by 6
X=3.1666

Answer 2

There are two possibilities relevant to this equation. Either (2x-1) is less than zero, or it is not. We need to look at each case separately.

If 2x-1 < 0, then the equation becomes:

3(1-2x) = 16
3-6x = 16
6x = 3-16 = -13
x = -13/6

In the other case, 2x-1 >= 0 so we have:

3(2x-1) = 16
6x-3 = 16
6x = 19
x = 19/6

There are two values of x which will work in the original equation. Either x= -(13/6) OR x = 19/6.

Answer 3

|2x - 1| = 16/3

If 2x - 1 >= 0 or x >= 1/2

2x -1 = 16/3

2x = 16/3 + 1

2x = 19/3

x = 19/6

x = 3 1/6

If x < 1/2

3(2x - 1) = -16

2x - 1 = -16/3

2x = - 16/3 + 1

2x = - 13/3

x = -13/6

x = -2 1/6
====================
x = 3 1/6 or x = -2 1/6

Answer 4

x = 8/6 or 4/3

Answer 5

2x-1 = ±16/3
x = (1/2)(1 ±16/3) = (1/6)(3±16)
x = 19/6, -13/6
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Ideas: If |x| = a, then x = ±a.

Answer 6

3|2x-1| = 16
|2x-1| = 16/3
2x-1 = 16/3 -->x = 19/6
2x-1 = -16/3 --> x = -13/6

Answer 7

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