Question

the difference of fourteen and five times a number is the same of the number and negative ten. find the number. round your answer to the nearest integer, if necessary

Answer 1

The question asks to solve an algebraic equation, and the unknown number is found to be 4. This is a standard middle school mathematics problem involving basic algebra.

Step-by-step explanation:

The question involves solving a linear equation to find an unknown number. The equation can be written based on the word problem as follows: 14 - 5x = x - 10. Our goal is to find the value of x.

Let's solve the equation step by step:

1. Add 5x to both sides to get all x's on one side: 14 = 6x - 10.
2. Add 10 to both sides to isolate the x term: 24 = 6x.
3. Divide both sides by 6 to solve for x: x = 4.

Therefore, the number in question is 4. Since 4 is already an integer, there is no need to round.