Hey there!! 
Given equation --> 
6 ( 2x + 3 ) - 4 ( 5x + 2 ) 
In order to solve this equation, we will need to use the distributive property. 
We will need to distribute the term 6 with 2x and 3 
We will need to distribute the term -4 with 5x and 2 
Distributing 6 = 12x + 18 
Distributing -4 = -20x - 8 
Now, let's get all the terms together : 
12x + 18 - 20x - 8 
Now combine all the terms : 
-8x + 10 
Hence , option ( c ) would be correct! 
Hope my answer helps!!