Step 1: 
Distributive property
The equation is now 
-2(2x) + -2(-5) = -74
Step 2: 
Order of operations; multiply
The equation is now
-4x + 10 = -74
Step 3: 
Subtract 10 from both sides
The equation is now
-4x = -84
Step 4:
Divide by -4 on both sides
The equation is now 
x = 21
Answer:
21