To solve the equation, we need to simplify both sides and isolate the variable x.

On the right side, we have 12 - (-14). To simplify this, we need to remember that subtracting a negative number is the same as adding a positive number. So, 12 - (-14) becomes 12 + 14.

Now, the equation becomes:

15 - x = 12 + 14

Next, we can simplify the right side by adding 12 and 14:

15 - x = 26

To isolate the variable x, we need to get rid of the 15 on the left side. We can do this by subtracting 15 from both sides:

15 - x - 15 = 26 - 15

This simplifies to:

-x = 11

Finally, to solve for x, we need to multiply both sides by -1 to get rid of the negative sign:

(-1)(-x) = (-1)(11)

This simplifies to:

x = -11

So, the solution to the equation is x = -11.