Respuesta :

Answer:

X1= -4, X2= 8

Step-by-step explanation:

2|x-2|=12

Divide both sides of the equation by 2

|x-2| = 6

rewrite the absolute value equation as two separate equations, one positive and the other negative

x-2=6

x-2= -6

solve the equation for x

x-2=6          x-2= -6

x=8              x= -4

the final solutions are

X1= -4, X2= 8