The equation given is 5x * 1/2 + 7 = 22. To solve this equation, we first simplify the left side by multiplying 5x with 1/2, which gives us 5x/2. Then, we add 7 to this result. So, the equation becomes 5x/2 + 7 = 22. To isolate the variable x, we subtract 7 from both sides, resulting in 5x/2 = 15. To solve for x, we multiply both sides by 2/5, canceling out the 2 and 5 on the left side and leaving us with x = 30/5, which simplifies to x = 6. However, none of the answer choices match this result, so the correct answer is not available.