We can solve the equation \( 21 = 10x - 9 \) step by step:

1. Start by adding 9 to both sides of the equation to eliminate the constant term on the right side:

\[
21 + 9 = 10x - 9 + 9
\]

\[
30 = 10x
\]

2. Now, divide both sides by 10 to isolate \( x \):

\[
x = \frac{30}{10} = 3
\]

Thus, the solution is \( x = 3 \).

Would you like further details or have any other questions?

Here are 5 related questions to consider:
1. What happens if you change the coefficient of \( x \)?
2. How do you check if \( x = 3 \) is the correct solution?
3. Can you graph the equation \( 21 = 10x - 9 \)?
4. What if the equation had been \( 21 = 10x + 9 \)?
5. How does the solution change if you multiply the entire equation by 2?

**Tip:** Always perform the same operation on both sides of an equation to maintain balance.

Discover how to solve the linear equation 21 = 10x - 9 with a clear step-by-step guide. This problem focuses on algebraic principles, including isolating variables and using basic operations to find the solution. Perfect for middle school students in Grades 6-8.

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