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

Starting with the left side of the equation:
-6/12 + x

We can simplify -6/12 by dividing both the numerator and denominator by their greatest common divisor, which is 6:
-6/12 = -1/2

Now, the equation becomes:
-1/2 + x = 9/48

Next, let's simplify the right side of the equation:
9/48 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
9/48 = 3/16

Now, the equation becomes:
-1/2 + x = 3/16

To isolate the variable x, we need to get rid of the -1/2 on the left side. We can do this by adding 1/2 to both sides of the equation:
-1/2 + 1/2 + x = 3/16 + 1/2

Simplifying further:
0 + x = 3/16 + 8/16
x = 11/16

Therefore, the solution to the equation is x = 11/16.