Oh no, it seems like there was a little bit of confusion with your steps there. Let me break it down for you in a more light-hearted way:
To solve -7 + 5x = 10x - 2 equation, we want to combine like terms and get all the "x" terms on one side:
-7 + 5x = 10x - 2
Now, let's get rid of those -7 and -2 on the left side by adding 7 to both sides:
-7 + 5x + 7 = 10x - 2 + 7
That simplifies to:
5x = 10x + 5
Now, let's bring all the "x" terms to one side by subtracting 10x from both sides:
5x - 10x = 10x - 10x + 5
Which simplifies to:
-5x = 5
Lastly, we just need to solve for "x" by dividing both sides by -5:
-5x / -5 = 5 / -5
And ta-da, we get:
x = -1
So, the correct answer is indeed x = -1. Keep up the great work!