Question

Solve for x: 3|2x − 2| + 6 = 18

Please help, thank you :)

Answer 1

3|2x − 2| + 6 = 18
3|2x − 2| = 18 - 6 = 12
|2x − 2| = 12/3 = 4

Whenever you have |A| = B, solve for two cases: A = B or A = -B

|2x - 2| = 4 implies: 2x - 2 = 4 or 2x - 2 = -4
solve each equation.

Answer 2

I got X= 3 and X=-1

Answer 3

Yes.

Answer 4

Thank you so much for you help! Can you check a recent problem I worked on?

Answer 5

sure.

Answer 6

|2x + 12| = 18

And I got X=3 X=-3

Answer 7

x = 3 is correct but not x = -3.

Answer 8

Ohh, can you show me where I went wrong please?

Answer 9

whenever you see an absolute operator in an equation such as |A| = B you can get rid of the absolute bars by splitting the equation into two parts: A = B or A = -B

Answer 10

|2x + 12| = 18 implies: 2x + 12 = +18 or 2x + 12 = -18
2x + 12 = +18
2x = 18 - 12 = 6
x = 6/2 = 3

2x + 12 = -18
2x = -18 - 12 = -30
x = -30/2 = -15

Answer 11

Thank you!

Answer 12

You are welcome.