5/8 (X-1/2)=10

Question

what number should both sides be divided by?

Answer 1

To solve for X, you can follow these steps:

1. Simplify the equation by multiplying both sides by 8, to get rid of the denominator:
5/8 * (X - 1/2) * 8 = 10 * 8
5(X - 1/2) = 80

2. Distribute 5 to both terms inside the parentheses:
5X - 5/2 = 80

3. Add 5/2 to both sides of the equation to isolate the term with X:
5X - 5/2 + 5/2 = 80 + 5/2
5X = 80 + 5/2

4. Combine the fractions on the right side:
5X = 160/2 + 5/2
5X = 165/2

5. Divide both sides by 5 to solve for X:
X = (165/2) / 5
X = 33/2

Therefore, the solution is X = 33/2.

Answer 2

5/8 (X-1/2)=10
the first step is to reverse the multiplication. what number should both sides be divided by?

Answer 3

To reverse the multiplication in the equation 5/8 (X-1/2) = 10, you would divide both sides by 5/8. Dividing by 5/8 is equivalent to multiplying by its reciprocal, which is 8/5.

So the number that both sides should be divided by is 8/5.