Eight times a number equals 24 more than two times the number. What is the number?
8x = 2x + 24
I'll be glad to check your answer.
Do the x both equal the same number?
answer is 4
Yes and yes!
To solve this problem, let's break it down step-by-step:
1. Start by translating the given information into an equation. Let's assume the number is represented by the variable "x". Based on the information given, we know that "eight times a number" is equal to "24 more than two times the number". So, the equation can be written as: 8x = 2x + 24.
2. Simplify the equation by combining like terms. In this case, we have "8x" and "2x" on the right side of the equation. By subtracting 2x from both sides, we get: 8x - 2x = 2x + 24 - 2x. This simplifies to: 6x = 24.
3. Solve for "x" by isolating the variable. To do this, divide both sides of the equation by 6: 6x / 6 = 24 / 6. This gives us: x = 4.
Therefore, the number is 4.