To solve the equation \( 8 + 7 = -3(4x - 5) \), let's go through the steps:

1. **Simplify the left side of the equation:**

   \[
   8 + 7 = 15
   \]

   So the equation becomes:

   \[
   15 = -3(4x - 5)
   \]

2. **Distribute the \(-3\) on the right side:**

   \[
   15 = -12x + 15
   \]

3. **Move the constants to one side of the equation:**

   Subtract \(15\) from both sides:

   \[
   15 - 15 = -12x + 15 - 15
   \]

   Simplifying this gives:

   \[
   0 = -12x
   \]

4. **Solve for \(x\):**

   Divide both sides by \(-12\):

   \[
   \frac{0}{-12} = x
   \]

   Therefore, \(x = 0\).

The solution is \( \boxed{x = 0} \).

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

1. How do you solve equations involving variables on both sides?
2. What happens if the equation has no solution or infinitely many solutions?
3. Can we apply the same steps if the equation had fractions?
4. How would you solve an equation like \(15 + 4x = 7 - 2x\)?
5. What methods can you use to verify the solution of an equation?

**Tip:** Always double-check your final answer by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the equation 8 + 7 = -3(4x - 5) with a step-by-step solution. This problem involves equations and the distributive property, suitable for students in Grades 7-9.

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