Unknown number 5

I think of an unknown number. If we enlarge it five times, then subtract 3, and the result decreases by 75%, we get one greater than the number. What number am I thinking?

Correct answer:

x =  7

Step-by-step explanation:

(5x-3)·(1-75/100) = 1+x

(5·x-3)·(1-75/100) = 1+x

25x = 175

x = 175/25 = 7

x = 7

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