Let's simplify the equation step by step:

8(4-12x) - 7(10x-5) = 4(7-6x)

First, distribute the numbers inside the parentheses:

32 - 96x - 70x + 35 = 28 - 24x

Combine like terms:

-96x - 70x = -166x

32 + 35 = 67

Substitute back into the equation:

-166x + 67 = 28 - 24x

Now, isolate the variables on one side of the equation:

-166x + 24x = 28 - 67

-142x = -39

Finally, solve for x:

x = -39 / -142
x = 0.274

Therefore, the solution to the equation is x = 0.274.