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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