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Omni-MATH / Emilia writes down the numbers 5,x, and 9. Valentin calculates the mean (average) of each pair of these numbers and obtains 7, 10, and 12. What is the value of x?

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problem

Emilia writes down the numbers 5,x5, x, and 9. Valentin calculates the mean (average) of each pair of these numbers and obtains 7, 10, and 12. What is the value of xx?
Plain-text mathematical notation (without MathML)
Emilia writes down the numbers 5,x, and 9. Valentin calculates the mean (average) of each pair of these numbers and obtains 7, 10, and 12. What is the value of x?
Original LaTeX notation
Emilia writes down the numbers $5, x$, and 9. Valentin calculates the mean (average) of each pair of these numbers and obtains 7, 10, and 12. What is the value of $x$?

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