Explain the steps in solving the following absolute value equation 2|x-2|=12

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