To solve the equation 2x - 35 = -75, you can follow these steps:

1. Add 35 to both sides of the equation to isolate the term with x:
2x - 35 + 35 = -75 + 35
2x = -40

2. Divide both sides of the equation by 2 to solve for x:
(2x)/2 = -40/2
x = -20

Therefore, the solution to the equation 2x - 35 = -75 is x = -20.