
The number (x) in: "3 more than twice a number is 312" is what we are solving here.
In other words, you are looking for a number (x) that if you multiply it by two (same as twice) and then add 3, you get 312.
To solve this, you first write the problem as an algebra equation as follows: 2x + 3 = 312
Then you solve the equation by subtracting 3 from both sides, and then divide both sides by 2. Here is the math to illustrate better:
2x + 3 = 312
2x + 3 - 3 = 312 - 3
2x = 309
2x/2 = 309/2
x = 154.5
Answer = 154.5
The answer above is correct, because twice 154.5 is 309, and 3 more than 309 is in fact 312.
More Than Twice a number
Go here to solve a similar algebra problem.
3 more than twice a number is 313
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