Question

|2x – 3| = 15?

Answer 1

x=9 x=-6

Answer 2

Work out the absolute first:

2x-3 = 2x-3

Answer 3

Now you solve it like a regular equation.

2x-3=15

add 3 to the right

2x=18

divide each side by 2:

x=9

Answer 4

Shouldn't it be 2x+3 after you work out the absolute then?

Answer 5

I guess that would make sense, but you can't really touch the equation inside the absoulute value bars. So, wouldnt you leave it alone?

Answer 6

So 2x+3=15
2x=12
x=6? I don't know for sure. Just guessing.

Answer 7

I just checked, you leave the equation the same. So it need to stay 2x-3.

Answer 8

Absolute values equations always have two solutions, though sometimes they can be the same number.
|2x - 3| = 15
We need to split this into a positive and a negative form.
First, the positive (everything remains the same).
2x - 3 = 15
2x = 18
x = 9
Second the negative (multiply one side by -1).
2x - 3 = -15
2x = -12
x = -6
The two answers are x = 9, -6.
We can verify this by plugging either number into the original equation.
|2(9) - 3| = 15
|18 - 3| = 15
|15| = 15
15 = 15
True

|2(-6) - 3| = 15
|-12 - 3| = 15
|-15| = 15
15 = 15
True

Answer 9

thank you you all:]