Verified Answer :

The answer is x=3, x= -1

Answer:

Option 2 - x = 3, x = −1

Step-by-step 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,

\(6x-6+6= 18\)

\(6x= 18\)

\(x=\frac{18}{6}\)

\(x=3\)

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

Solving,

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

\(-6x+6+6= 18\)

\(-6x+12=18\)

\(-6x=6\)

\(x=-\frac{6}{6}\)

\(x=-1\)

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

So, Option 2 is correct.

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