To solve the equation \(-7 + 4x = 6x - 5\), let's follow these steps:

### Step 1: Move all the terms involving \(x\) to one side of the equation.
\[
4x - 6x = -5 + 7
\]
This simplifies to:
\[
-2x = 2
\]

### Step 2: Solve for \(x\).
Divide both sides by \(-2\):
\[
x = \frac{2}{-2} = -1
\]

### Solution:
\[
x = -1
\]

Would you like more details on the solution, or do you have any questions?

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Here are 5 related questions to expand your understanding:

1. What is the solution to \(3x + 2 = 7x - 10\)?
2. How do you solve an equation where the variable appears on both sides?
3. What are the steps to solve \(5x - 3 = 2x + 9\)?
4. Can you solve \(7 - 2x = 5x + 14\)?
5. How do you check if your solution to an equation is correct?

**Tip:** Always combine like terms and isolate the variable to one side of the equation for easier solving.

Learn how to solve the equation -7 + 4x = 6x - 5 with a detailed step-by-step solution. This problem involves solving linear equations and isolating variables. Suitable for students in Grades 7-9.

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