Question

Solve for x: 3|2x − 2| + 6 = 18.

x = 3, x = −3
x = 3, x = −1
x = 1, x = −1
x = −3, x = 1

Answer 1

The answer is x=3, x= -1

Answer 2

Option 2 - x = 3, x = −1

Explanation:

Given : Expression
`3|2x-2|+6= 18`

To find : Solve the expression ?

Solution :

The expression gives an absolute function which means
`|a|=-a,a`

Expression
`3|2x-2|+6= 18`

1) Taking
`3(2x-2)+6= 18`

Solving,

`6x-6+6= 18`

`6x= 18`

`x=(18)/(6)`

`x=3`

2) Taking
`3(-(2x-2))+6= 18`

Solving,

`3(-2x+2)+6= 18`

`-6x+6+6= 18`

`-6x+12=18`

`-6x=6`

`x=-(6)/(6)`

`x=-1`

Therefore, The solution of
`3|2x-2|+6= 18` is x=3,-1.

So, Option 2 is correct.