Solve for x: 2x + 4(2x + 7) = 3(2x + 4).  solve this math quotation for me be specific and in short answer 

To solve \( 2x + 4(2x + 7) = 3(2x + 4) \):

1. Distribute: 
   \[
   2x + 8x + 28 = 6x + 12
   \]

2. Combine like terms:
   \[
   10x + 28 = 6x + 12
   \]

3. Move \( x \) terms to one side:
   \[
   4x + 28 = 12
   \]

4. Isolate \( x \):
   \[
   4x = -16 \quad \Rightarrow \quad x = -4
   \]

**Final Answer:** \( x = -4 \).

Would you like more details or have any questions? 

Here are five related questions you might find helpful:

1. How would you solve \( 3x + 4(2x + 5) = 2(3x + 7) \)?
2. What if the equation was \( 2(x - 3) + 4(2x + 1) = 5x + 8 \)?
3. Can you find \( x \) in \( 5(3x + 2) = 4x + 10 \)?
4. How does the solution change if the right side of the equation is doubled?
5. What is the value of \( x \) in \( 6x + 3(2x + 9) = 2(4x + 10) \)?

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

Learn how to solve the equation 2x + 4(2x + 7) = 3(2x + 4) step-by-step. This problem involves algebraic concepts such as equations and the distributive property. Suitable for Grades 7-9.

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