What does it mean when ten times the sum of half a number and 6 equals 8?

by

To solve the equation where ten times the sum of half a number and 6 equals 8, we need to first define the variables and set up the mathematical equation.

Let’s denote the unknown number as x. According to the problem, we have:

1. Start with half the number: This is represented as 0.5x.

2. Then, we add 6 to this value: 0.5x + 6.

3. Now, we multiply this entire expression by 10: 10(0.5x + 6).

4. Finally, we set this expression equal to 8:

10(0.5x + 6) = 8.

Now, let’s solve the equation step-by-step:

  1. Distribute 10 into the parentheses:

    2. 10 * 0.5x + 10 * 6 = 5x + 60.

  • Now, our equation looks like this: 5x + 60 = 8.
    1. Next, subtract 60 from both sides to isolate the term with x:

    5x = 8 – 60

    5x = -52.

    1. Now, divide by 5 to solve for x:

    x = -52 / 5

    x = -10.4.

    In conclusion, the number that satisfies the condition where ten times the sum of half of it and 6 equals 8 is -10.4. This means that the equation holds true for this specific value of x.

    Leave a Comment