Before we can solve the given equation, we need to isolate the absolute value expression using the Properties of Equality.
2|3x|+1=9 ⇒ |3x|=4
An absolute value measures an expression's distance from a midpoint on a number line.
|3x|=4
This equation means that the distance between x and 0 is 4, either in the positive direction or the negative direction.
|3x|=4 ⇒ l3x= 4 3x= - 4
To find the solutions to the absolute value equation, we need to solve both of these cases for x.
