To solve the equation \( \frac{9}{10}X - 2 = 16 \) for \( X \), follow these steps:

1. Start by isolating the term with \( X \). Add 2 to both sides:
   \[
   \frac{9}{10}X = 16 + 2
   \]
   \[
   \frac{9}{10}X = 18
   \]

2. To solve for \( X \), multiply both sides by the reciprocal of \( \frac{9}{10} \), which is \( \frac{10}{9} \):
   \[
   X = 18 \times \frac{10}{9}
   \]

3. Simplify:
   \[
   X = 2 \times 10 = 20
   \]

So, the solution is \( X = 20 \).

Do you want more details on any step or have questions?

Here are some related questions:
1. How would the equation change if \( \frac{9}{10}X + 2 = 16 \)?
2. What if the constant on the right-hand side were different, say \( \frac{9}{10}X - 2 = 20 \)?
3. How do you solve for \( X \) if the equation is \( \frac{9}{10}X - 2 = X + 16 \)?
4. What happens if the fraction \( \frac{9}{10} \) is replaced with another fraction, like \( \frac{5}{8} \)?
5. How do you solve equations involving fractions with multiple variables?

**Tip:** When solving equations, always aim to isolate the variable step by step to make the process easier to follow.

Learn how to solve the linear equation 9/10X - 2 = 16 with a step-by-step guide. This problem introduces key algebra concepts such as working with fractions and isolating variables. Suitable for students in Grades 6-8.

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