To translate the statement "3 more than a number is 7" into an algebraic equation, we first need to define what we mean by "a number." In this case, we are using the variable x to represent that number.
The phrase "3 more than a number" can be expressed mathematically as x + 3. The statement says that this expression is equal to 7, which we can write as:
x + 3 = 7
This equation states that if you take the number x, add 3 to it, the result will be equal to 7. This is a simple linear equation that can be solved for x.