To solve the equation \( \frac{6}{7}X - 8 = 7 \), follow these steps:

1. **Isolate the term with \( X \)**:
   \[
   \frac{6}{7}X = 7 + 8
   \]
   \[
   \frac{6}{7}X = 15
   \]

2. **Solve for \( X \)** by multiplying both sides by the reciprocal of \( \frac{6}{7} \) (which is \( \frac{7}{6} \)):
   \[
   X = 15 \times \frac{7}{6}
   \]

3. **Simplify**:
   \[
   X = \frac{15 \times 7}{6} = \frac{105}{6} = 17.5
   \]

So, the solution is \( X = 17.5 \).

Would you like more details or have any questions?

Here are five related questions:

1. How would you solve \( \frac{5}{9}X - 6 = 3 \)?
2. What is the result if \( X = 10 \) in the equation \( \frac{4}{7}X - 5 = 9 \)?
3. How do you handle equations involving fractions on both sides, such as \( \frac{2}{5}X - 3 = \frac{1}{4}X + 2 \)?
4. Can you solve \( \frac{3}{4}X + 6 = 12 \)?
5. What happens when \( X \) is on both sides of the equation, for example, \( \frac{2}{3}X - 4 = \frac{5}{7}X + 1 \)?

**Tip:** Always simplify fractions early in the problem to make the calculations easier.

Learn how to solve the equation (6/7)X - 8 = 7 with detailed step-by-step instructions. This problem involves solving equations with fractions and multiplication of fractions. Suitable for high school students.

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