To solve the equation, we can start by multiplying both sides of the equation by 29 to eliminate the denominators:

29 * [x - 7/18] * 18/29 = 29 * -12/29

Simplifying, we get:

18 * (x - 7/18) = -12

Expanding the left side of the equation:

18x - 7 = -12

Adding 7 to both sides:

18x = -12 + 7

18x = -5

Dividing both sides by 18:

x = -5/18

Therefore, the solution to the equation is x = -5/18.