To solve the equation $-3x = 4x + 2$, follow these steps:

1. Move all terms involving $x$ to one side: $-3x - 4x = 2$ This simplifies to: $-7x = 2$

2. Solve for $x$ by dividing both sides by $-7$: $x = \frac{2}{-7}$ Simplifying gives: $x = -\frac{2}{7}$

So, the solution is $x = -\frac{2}{7}$.

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

Here are 5 related questions to expand your understanding:

1. How would you solve the equation $5x - 3 = 2x + 7$?
2. What happens if you add $5$ to both sides of the equation $-3x = 4x + 2$?
3. How can you check if your solution to the equation is correct?
4. What would the solution be if the equation was $-3x = 4x - 2$?
5. How does the equation change if we multiply both sides by $-1$?

Tip: Always move all terms involving the variable to one side of the equation before solving. This simplifies the equation and reduces errors.