Answer:
[tex]x=89[/tex]
Step-by-step explanation:
We can plug into the formula for the mean to get [tex](87+73+84+82+x)/5=83[/tex].
We can combine like terms on the left side to get [tex](326+x)/5=83[/tex].
We can multiply by [tex]5[/tex] on both sides to get [tex]326+x=415[/tex].
We can finally subtract [tex]326[/tex] from both sides to get [tex]x=89[/tex].
So, the answer is [tex]\boxed{x=89}[/tex] and we're done!
