The number (x) in: "8 more than three times a number is 797" is what we are solving here.
In other words, you are looking for a number (x) that if you multiply it by three (same as three times) and then add 8, you get 797.
To solve this, you first write the problem as an algebra equation as follows: 3x + 8 = 797
Then you solve the equation by subtracting 8 from both sides, and then divide both sides by 3. Here is the math to
illustrate better:
3x + 8 = 797
3x + 8 - 8 = 797 - 8
3x = 789
3x/3 = 789/3
x = 263
Answer = 263
Note: All answers are rounded to the nearest two decimals.
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