How do you solve −3+|5n−5|=22?

1 Answer
Jarob R G.
Apr 28, 2018

n=−4,6

Explanation:

Start by isolating the absolute value to one side of the equation. In our case, this would give |5n−5|=25. Note that this equation is true whenever 5n−5 equals 25 or −25.

Set up two equations without the absolute value, one accounting for a possible positive value and the other for a possible negative value.

5n−5=25
5n−5=−25

Solve these to obtain the solutions.

5n−5=25→5n=30→n=6
5n−5=−25→5n=−20→n=−4.

Thus, our solutions are n=−4,6.

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