To solve the equation, we need to isolate the variable x.

First, let's simplify the left side of the equation:

(16x - 126) * 8 = 312

128x - 1008 = 312

Next, let's isolate the variable x by moving the constant term to the other side of the equation:

128x = 312 + 1008

128x = 1320

Finally, divide both sides of the equation by 128 to solve for x:

x = 1320 / 128

x ≈ 10.3125

Therefore, the solution to the equation is x ≈ 10.3125.