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.