To solve the equation \(2 - 3(4x - 4) = 3x\), follow these steps:

1. Distribute \(-3\) across \((4x - 4)\):
   \[
   2 - 12x + 12 = 3x
   \]

2. Combine like terms:
   \[
   14 - 12x = 3x
   \]

3. Add \(12x\) to both sides:
   \[
   14 = 15x
   \]

4. Divide both sides by \(15\):
   \[
   x = \frac{14}{15}
   \]

Thus, the solution is:
\[
x = \frac{14}{15}
\]

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

1. What is the significance of distributing terms in an equation?
2. How would you check if the solution is correct?
3. Can this equation be solved using a graph?
4. What are other methods to solve linear equations?
5. How does the solution change if the equation is modified slightly? 

**Tip:** Always combine like terms before isolating the variable for clarity in your calculations.

Discover how to solve the equation 2-3(4x-4)=3x with a comprehensive step-by-step solution. This guide covers the distributive property and combining like terms, suitable for students in Grades 7-9.

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