How do you solve $abs(5n+7)=23$ ?

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Answer 1 · 2017-09-08T09:22:05

The solutions are $S={-6,16/5}$

The absolute value is always positive

Therefore,

$|5n+7|=23$

$=>$ , $(5n+7)=23$ and $-(5n+7)=23$

$5n=23-7=16$ , $=>$ , $n=16/5$

and

$5n+7=-23$ , $=>$ , $5n=-23-7=-30$ , $=>$ , $n=-6$

How do you solve abs(5n+7)=23abs(5n+7)=23?