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

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

step-by-step explanation: