To solve the equation \( 2x + 3x = 21 \), follow these steps:

1. **Combine like terms**:
   \[
   2x + 3x = 5x
   \]
   So the equation simplifies to:
   \[
   5x = 21
   \]

2. **Solve for \( x \)**:
   \[
   x = \frac{21}{5} = 4.2
   \]

So, the solution is \( x = 4.2 \).

Would you like further details on this solution or have any questions? Here are 5 related questions to expand on this topic:

1. How would you solve \( 4x + 5x = 36 \)?
2. What happens if you have an equation like \( 2x + 3y = 21 \)?
3. How do you solve equations with variables on both sides, like \( 3x + 5 = 2x + 9 \)?
4. What is the next step if the equation includes a negative coefficient, like \( -3x + 4x = 12 \)?
5. How do you check if the solution to the equation is correct?

**Tip**: Always combine like terms first before trying to isolate the variable in an equation.

Learn how to solve the equation 2x + 3x = 21 with a detailed step-by-step solution. This problem covers key algebraic concepts such as combining like terms and solving linear equations. Suitable for students in Grades 7-9.

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