To solve the equation \( 6x + 3 = -17 \), follow these steps:

1. **Subtract 3 from both sides** to move the constant term to the right side:
   \[
   6x + 3 - 3 = -17 - 3
   \]
   \[
   6x = -20
   \]

2. **Divide both sides by 6** to isolate \(x\):
   \[
   x = \frac{-20}{6}
   \]
   Simplify the fraction:
   \[
   x = \frac{-10}{3}
   \]

So, the solution is:
\[
x = \frac{-10}{3}
\]

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. What is the process to solve equations with variables on both sides?
2. How do you handle fractions when solving linear equations?
3. How can you check your solution to ensure it's correct?
4. What happens if an equation has no solution or infinitely many solutions?
5. How would you solve the equation if it involved decimals instead of fractions?

**Tip:** Always simplify fractions when possible to make the solution easier to interpret.

Learn how to solve the linear equation 6x + 3 = -17 through a clear step-by-step breakdown. This problem introduces key algebraic concepts like isolating variables and simplifying fractions, suitable for students in Grades 6-8.

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