I start with $9-2x$ widgets. Each day, I produce $2x+1$ widgets, and destroy $3-x$ widgets. After three days,

Question

I start with $9-2x$ widgets. Each day, I produce $2x+1$ widgets, and destroy $3-x$ widgets. After three days, how many widgets am I left with, in terms of $x$?

GPT-5 mini · Answer

Daily net change = (2x+1) − (3−x) = 3x − 2. After 3 days net change = 3(3x−2) = 9x − 6. Add to the start: (9 − 2x) + (9x − 6) = 7x + 3.

I start with $9-2x$ widgets. Each day, I produce $2x+1$ widgets, and destroy $3-x$ widgets. After three days, how many widgets am I left with, in terms of $x$?

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