To solve the equation \(2x + 13 + 4x + 9 = 180\), follow these steps:

1. **Combine like terms** on the left side of the equation:
   \[
   2x + 4x + 13 + 9 = 180
   \]
   This simplifies to:
   \[
   6x + 22 = 180
   \]

2. **Subtract 22** from both sides to isolate the term with \(x\):
   \[
   6x = 180 - 22
   \]
   \[
   6x = 158
   \]

3. **Divide by 6** to solve for \(x\):
   \[
   x = \frac{158}{6}
   \]
   Simplifying further:
   \[
   x = \frac{79}{3} \quad \text{or approximately } 26.33
   \]

So, the solution is \( x = \frac{79}{3} \) or approximately \( x \approx 26.33 \).

Would you like more details or have any questions?

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Here are 5 related questions:
1. How would you solve \(3x + 7 + 5x + 12 = 100\)?
2. What steps would you take to solve \(7x - 15 + 2x + 8 = 50\)?
3. How can you verify if your solution to the equation is correct?
4. What would happen if the equation were \(2x + 13 + 4x + 9 = 180 + 5x\)?
5. Can you solve for \(x\) in the equation \(4(x + 5) + 3(x - 2) = 50\)?

**Tip:** Always remember to combine like terms first when solving linear equations.

Discover how to solve the linear equation 2x + 13 + 4x + 9 = 180 with a clear step-by-step solution. This problem is ideal for students in Grades 6-8 and covers key algebraic concepts like combining like terms and isolating variables.

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