To solve the equation \( 3x + 6 = 10 \), follow these steps:

1. **Subtract 6 from both sides** to isolate the term with \(x\):
   \[
   3x + 6 - 6 = 10 - 6
   \]
   Simplifying:
   \[
   3x = 4
   \]

2. **Divide both sides by 3** to solve for \(x\):
   \[
   x = \frac{4}{3}
   \]

Thus, the solution is:
\[
x = \frac{4}{3}
\]

Would you like more details or have any questions about this?

Here are 5 related questions to explore:

1. How would the solution change if the equation were \( 3x + 6 = 12 \)?
2. What if the equation was \( 5x + 6 = 10 \) instead?
3. How can you check if your solution is correct for the equation \( 3x + 6 = 10 \)?
4. What happens when you subtract a different constant from both sides?
5. What if there was a negative coefficient for \(x\), like in \( -3x + 6 = 10 \)?

**Tip:** Always perform the same operation on both sides of the equation to maintain equality!

Discover how to solve the linear equation 3x + 6 = 10 using simple algebraic steps. This problem introduces key algebra concepts such as isolating variables and applying the division property of equality. Ideal for students in Grades 6-8.

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