Final answer:
To solve the equation 3/8x = 6, we divide both sides by 3/8 and multiply by the reciprocal to find that x = 16.
Step-by-step explanation:
To solve the equation 3/8x = 6, we first want to isolate the variable x. To do this, we divide both sides of the equation by 3/8. Doing so, we achieve the following steps:
- Divide both sides by 3/8: x = 6 ÷ (3/8)
- Multiply by the reciprocal of 3/8: x = 6 × (8/3)
- Simplify the multiplication: x = 16
Therefore, the solution to the equation is x = 16, which corresponds to option D.