Question

X/2+15=x/8+12
a. 16
b. -8
c. -16
d. 11

Answer 1

To solve the equation X/2 + 15 = X/8 + 12, we first subtract X/8 from both sides, then subtract 12, then multiply both sides by 8/3 to isolate X, resulting in X = -8.

Step-by-step explanation:

The equation given is X/2 + 15 = X/8 + 12. To solve for the value of X, we can first subtract the fraction (X/8) from both sides of the equation to get all X terms on one side. After this step, we subtract 12 from both sides of the equation to get the constant terms on one side as well.

So, the steps are as follows:

1. Subtract X/8 from both sides: X/2 - X/8 + 15 = 12.
2. Combine like terms: (4X - X)/8 + 15 = 12.
3. Simplify: (3X)/8 + 15 = 12.
4. Subtract 15 from both sides: (3X)/8 = -3.
5. Finally, multiply both sides by 8/3 to solve for X: X = -3 * (8/3) = -8.

Therefore, the solution to the equation is X = -8, which is option (b).