The number (x) in: "5 more than three times a number is 412" 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 5, you get 412.
To solve this, you first write the problem as an algebra equation as follows: 3x + 5 = 412
Then you solve the equation by subtracting 5 from both sides, and then divide both sides by 3. Here is the math to
illustrate better:
3x + 5 = 412
3x + 5 - 5 = 412 - 5
3x = 407
3x/3 = 407/3
x = 135.67
Answer = 135.67
Note: All answers are rounded to the nearest two decimals.
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