Final answer:
To solve the equation 8 = 1/2x - 21, add 21 to both sides and then multiply by 2, yielding the solution x = 58.
Step-by-step explanation:
The student is asking how to solve the equation 8 = 1/2x - 21 for x. To solve for x, we want to get x by itself on one side of the equation. Here is a step-by-step explanation:
- Add 21 to both sides of the equation: 8 + 21 = 1/2x - 21 + 21, which simplifies to 29 = 1/2x.
- Multiply both sides by 2 to get x by itself: 2 * 29 = (1/2x) * 2, resulting in 58 = x.
Thus, the solution to the equation is x = 58.