Question 884571
(92 + x) / 2 = 89
Multiply each side by 2 to get rid of the pesky fraction.
92 + x = 178
Subtract 92 from each side
x = 86
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86 is a good score, but not enough to keep your grade at an A level.  You would have needed an 88 for that.  If this is a real-life situation, I would ask the instructor if there was a way to earn those two points.
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Note: the reason you divided by two was because each portion (final, coursework) was worth {{{1/2}}} of your grade.