To solve for x, follow these steps:

1) Distribute the 1/13 on the left side of the equation:

-15 (1/13)x + -15 (5.7/13) = 0

-15/13 x - 85.5/13 = 0

2) Add 85.5/13 to both sides of the equation to isolate the x term:

-15/13 x = 85.5/13

3) Now, multiply both sides by the reciprocal of -15/13 (-13/15) to solve for x:

x = (85.5/13) * (-13/15)

x = -5.7

Therefore, the solution to the equation is x = -5.7.