To solve the inequality:

\[
25 - 4x > -7
\]

we'll isolate \( x \) step by step.

1. **Subtract 25 from both sides:**

   \[
   25 - 4x - 25 > -7 - 25
   \]

   This simplifies to:

   \[
   -4x > -32
   \]

2. **Divide both sides by -4:**  
   Remember that dividing by a negative number reverses the inequality sign.

   \[
   x < \frac{-32}{-4}
   \]

   This gives:

   \[
   x < 8
   \]

**Solution:**

\[
x < 8
\]

Let me know if you would like more details on each step or have questions!

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### Related Questions:

1. How do you solve inequalities with multiple steps?
2. What happens when dividing or multiplying by a negative number in an inequality?
3. How do you graph the solution \( x < 8 \) on a number line?
4. Can you solve for \( x \) if the inequality was \( 25 + 4x > -7 \)?
5. How do you check if a value satisfies an inequality?

**Tip:** Always remember to flip the inequality when you divide or multiply by a negative.

Learn how to solve the inequality 25 - 4x > -7 with a clear, step-by-step solution. This guide explains essential concepts in algebra, including how to handle inequalities and the effect of dividing by a negative number. Perfect for students in Grades 6-8.

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