To solve the equation \( 6x - 5 = 19 \):

1. **Add 5 to both sides** to isolate the term with \(x\):
   \[
   6x - 5 + 5 = 19 + 5
   \]
   \[
   6x = 24
   \]

2. **Divide both sides by 6** to solve for \(x\):
   \[
   x = \frac{24}{6}
   \]
   \[
   x = 4
   \]

So, the solution is \( x = 4 \).

Would you like more details, or do you have any questions?

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Here are five related questions:
1. What is the solution to \( 3x + 7 = 22 \)?
2. How would you solve \( 8x - 12 = 28 \)?
3. What happens if we solve \( 5x + 3 = 18 \)?
4. How do you solve \( 9x - 14 = 32 \)?
5. What is the next step in solving \( 7x - 8 = 20 \)?

**Tip**: Always perform inverse operations (addition ↔ subtraction, multiplication ↔ division) to isolate the variable.

Learn how to solve the linear equation 6x - 5 = 19 with a clear, step-by-step solution. This problem focuses on key algebra concepts, including solving linear equations by applying inverse operations. Ideal for students in Grades 6-8.

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