To translate the problem into an algebraic equation, let’s define the unknown number as x.
According to the question, we need to consider two parts:
- Eight times a number: This can be expressed as
8x. - The sum of eight times a number and seven: We write this as
8x + 7.
The next part of the equation states that this sum is equal to twice the number. Twice the number is expressed as 2x.
Now, we can set up the equation to reflect the full relationship:
8x + 7 = 2x
This equation succinctly captures the idea that when you take eight times a number, add seven, you obtain twice that same number. From this equation, one can further solve for x if needed.