Answer: I've been typing ALOT to day lol
Step-by-step explanation:
To solve the equation 5/8 (X-1/2) = 10, we need to isolate the variable X. To do that, we should divide both sides of the equation by the coefficient of X, which is 5/8.
Let's go through the steps:
1. Start with the equation: 5/8 (X-1/2) = 10
2. To cancel out the coefficient of X, we need to divide both sides of the equation by 5/8. This will give us:
(X-1/2) = 10 ÷ (5/8)
3. To simplify the right side of the equation, we can multiply 10 by the reciprocal of 5/8, which is 8/5. This gives us:
(X-1/2) = 10 × (8/5)
4. Multiply 10 by 8/5:
(X-1/2) = 16/1
5. Now, we have:
X - 1/2 = 16/1
6. To isolate X, we need to cancel out the -1/2 on the left side. We can do this by adding 1/2 to both sides of the equation:
X - 1/2 + 1/2 = 16/1 + 1/2
7. Simplify the equation:
X = 16/1 + 1/2
8. To add the fractions, we need a common denominator. The least common denominator for 1 and 2 is 2, so we convert 16/1 to 32/2:
X = 32/2 + 1/2
9. Add the fractions:
X = (32 + 1) / 2
10. Simplify the numerator:
X = 33/2
Therefore, the value of X that satisfies the equation 5/8 (X-1/2) = 10 is X = 33/2.