Question

please help
solve for x : 3|2x-2|+6=18

Answer 1

this is an "absolute value" problem.
|x-1| = 5 can be decomposed (broken down) into two separate equations:

1) +(X-1) = 5
2) - (X-1) = 5

Try solving these two equations for x. Check your answers. Then go back to the problem you've posted and apply your knowledge to that. Hint: Div. both sides of the given equation by 3 first.

Answer 2

Can you first simplify your given equation to have only an absolute value equaling a number?
To do that, you need to get rid of the 6 and the 3 on the left side.
First, subtract 6 from both sides.
Then divide both sides by 3.
Can you do that and show what you got?

Answer 3

so the first step substract from both sides 6 and so will get

3I2x-2I +6-6=18-6
3I2x-2I=12 so now divide both sides by 3 and will get

I2x-2I=4 - so and now you can using what you know about I2x-2I= ?
so these two cases