Question

The difference between six time a number and 7 equal is equal to six times the sum of the number and 3. Find the number. If X represents the number how would you write the equation

Answer 1

The equation based on the problem is 6X - 7 = 6(X + 3), which simplifies to -7 = 18, indicating a contradiction. Therefore, there is no solution for X under normal conditions, suggesting there might be an error in the problem statement.

Step-by-step explanation:

We are looking to find a number, which we will represent with the variable X. The problem states that the difference between six times a number and 7 is equal to six times the sum of the number and 3. This can be translated into the following equation:

6X - 7 = 6(X + 3)

To solve for X, we follow these steps:

1. Distribute the 6 on the right side of the equation: 6X - 7 = 6X + 18.
2. Subtract 6X from both sides of the equation to get: -7 = 18.
3. We can now see there is a contradiction, as -7 cannot equal 18. This means there is no solution for X that would satisfy this equation under normal circumstances. It's possible there may have been a typo in the original problem as it leads to an inconsistency.