To solve the equation -6 + x/2^3 = 102 for x, we need to isolate x on one side of the equation.
First, we simplify the equation by evaluating 2^3, which is equal to 8:
-6 + x/8 = 102
Next, we can isolate x by subtracting -6 from both sides of the equation:
x/8 = 102 + 6
x/8 = 108
To isolate x completely, we multiply both sides of the equation by 8:
8 * (x/8) = 8 * 108
x = 864
Therefore, the solution to the equation -6 + x/2^3 = 102 is x = 864.