9 − 10x = 2x + 1 − 8x

Sure, let's solve the equation step by step:

1. First, let's simplify the equation by combining like terms on both sides. On the left side, there are no like terms. On the right side, we have 2x and -8x. Combining these gives -6x. So, the equation now is:

   9 - 10x = -6x + 1

2. Next, let's get all the x terms on one side and the constants on the other side. We can add 6x to both sides to get rid of -6x on the right side and we can subtract 1 from both sides to get rid of 1 on the right side. This gives us:

   -10x + 6x = -1 + 9

3. Simplifying both sides gives:

   -4x = 8

4. Finally, to solve for x, we can divide both sides by -4:

   x = 8 / -4

5. Simplifying the right side gives:

   x = -2

So, the solution to the equation 9 - 10x = 2x + 1 - 8x is x = -2.