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The correct equation is 120 - 7x = 150 - 9x. To solve this equation, you need to combine like terms and isolate the variable.
First, simplify both sides of the equation:
120 - 7x = 150 - 9x
Next, combine the constants on each side:
-7x + 9x = 150 - 120
Simplifying further:
2x = 30
Now, solve for x by dividing both sides of the equation by 2:
x = 15
Therefore, the two popcorn machines will have the same amount of popcorn left after 15 hours.