Respuesta :

So first, you get the absolute value to one side:
[tex]|5x|+5=45\\ |5x|=40[/tex]

Next, set up two equations; One where the value inside the absolute value lines is positive, and another where it is negative, and solve both for the variable:
[tex]|5x|=40\\5x=40\\x=\frac{40}{5}=8\\\\-5x=40\\x=\frac{40}{-5}=-8[/tex]

Your answers are 8 and -8, or +-8.
In absolute value you always get 2 answer a positive and a negative
|5x|+5=45
+-5x=40
x=+-8
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