To solve this equation, we need to first distribute the coefficients:

7(6x-1) + 3(2x+1) - 5(12x-7) = 23

42x - 7 + 6x + 3 - 60x + 35 = 23

Next, we can combine like terms:

(42x + 6x - 60x) + (-7 + 3 + 35) = 23

-12x + 31 = 23

Now, isolate the variable by subtracting 31 from both sides:

-12x = -8

Finally, divide by -12 to solve for x:

x = -8 / -12

x = 2/3

Therefore, the solution to the equation is x = 2/3.