Final answer:
To find the number, set up an equation: 5 * (12 + x) = 10. Simplify the equation and solve for x to find the number is -10.
Step-by-step explanation:
To find the number, we need to set up an equation based on the given information. The product of 5 and the sum of 12 and the number is equal to 10. This can be written as 5 * (12 + x) = 10, where x represents the unknown number.
Now we can solve for x by simplifying the equation. Distribute the 5 to both terms inside the parentheses: 5 * 12 + 5 * x = 10.
This gives us 60 + 5x = 10. Next, we isolate the variable by subtracting 60 from both sides: 5x = 10 - 60.
After combining like terms, we have 5x = -50. Finally, divide both sides of the equation by 5 to solve for x: x = -50 / 5.
The number is -10.