Answer: x = 7
Explanation:
To solve the equation, 
First step, open the bracket 
3(x-5)-14=2(x-7)+2
3x -15 -14 = 2x -14 +2 
Then, add the like terms
3x - 29 = 2x -16
Transpose the values at the right hand side to the left hand side 
3x - 2x = -16 + 29
x = 7