To solve this equation, we need to distribute the coefficients on both sides and then solve for x.

First, distribute the coefficients on the left side:

-5(0) - 5(7) + 5(12x) = 5(0) -5(12x) = 0 - 35 + 60x = 60x - 35

Next, distribute the coefficients on the right side:

-1/3(-6x) - 1/3(1.5) = 1/2x + 0.5

Now, the equation becomes:

60x - 35 = 1/2x + 0.5

To solve for x, we can combine like terms and isolate x:

59.5x = 35.5

x = 35.5/59.5

x= 0.5966

Therefore, the solution to the equation is x = 0.5966.