To solve the equation \( 2(x + 15) = 3x + 20 \), follow these steps:

1. Distribute the 2 on the left side:
   \[
   2x + 30 = 3x + 20
   \]

2. Subtract \( 2x \) from both sides:
   \[
   30 = x + 20
   \]

3. Subtract 20 from both sides:
   \[
   10 = x
   \]

Thus, the solution is:
\[
x = 10
\]

Would you like more details or have any questions? Here are some related questions you might consider:

1. How would the solution change if the equation was \( 2(x + 10) = 3x + 15 \)?
2. What is the importance of isolating the variable in algebra?
3. Can you explain the steps of distributing in more detail?
4. What are some other methods to solve linear equations?
5. How do you check if your solution is correct? 

**Tip:** Always double-check your solution by substituting it back into the original equation.

Discover the step-by-step solution to the linear equation 2(x+15)=(3x+20). This guide covers essential algebraic techniques such as distribution and isolating the variable, making it perfect for students in Grades 6-8.

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