To simplify the expression \( (12x - 10) - (-7x + 28) \), follow these steps:

1. Distribute the negative sign:
   \[
   (12x - 10) + (7x - 28)
   \]

2. Combine like terms:
   \[
   12x + 7x - 10 - 28 = 19x - 38
   \]

Thus, the simplified expression is:
\[
19x - 38
\]

Would you like any further details or explanations? Here are some related questions you might consider:

1. What is the value of the expression when \( x = 2 \)?
2. Can you solve \( 19x - 38 = 0 \) for \( x \)?
3. How would you graph the expression \( y = 19x - 38 \)?
4. What would happen if we added a constant term to the expression?
5. Can you factor the expression \( 19x - 38 \)? 

**Tip:** Always distribute negative signs carefully to avoid mistakes when simplifying expressions.

Discover how to simplify the expression (12x-10)-(-7x+28) through detailed steps involving distribution and combining like terms. This algebra problem is suitable for students in Grades 6-8.

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