Respuesta :
Answer:
Option 2 - x = 3, x = −1
Step-by-step explanation:
Given : Expression [tex]3|2x-2|+6= 18[/tex]
To find : Solve the expression ?
Solution :
The expression gives an absolute function which means [tex]|a|=-a,a[/tex]
Expression [tex]3|2x-2|+6= 18[/tex]
1) Taking [tex]3(2x-2)+6= 18[/tex]
Solving,
[tex]6x-6+6= 18[/tex]
[tex]6x= 18[/tex]
[tex]x=\frac{18}{6}[/tex]
[tex]x=3[/tex]
2) Taking [tex]3(-(2x-2))+6= 18[/tex]
Solving,
[tex]3(-2x+2)+6= 18[/tex]
[tex]-6x+6+6= 18[/tex]
[tex]-6x+12=18[/tex]
[tex]-6x=6[/tex]
[tex]x=-\frac{6}{6}[/tex]
[tex]x=-1[/tex]
Therefore, The solution of [tex]3|2x-2|+6= 18[/tex] is x=3,-1.
So, Option 2 is correct.
