Question about mathematical logic

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Let say that you think you have 10 dollars in your pocket and you find out that you have two more dollars than what you thought you had, so you have 12 dollars. But what does it mean to say that you have two more dollars than twice what you thought you had?

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Let $t$ be the number of dollars that you thought you had.

(two more dollars) than (twice what you thought you had)

(twice what you thought you had) + (two more dollars)

you have $2t + 2$ dollars