#### Answer

The answer is H which is 9.

#### Work Step by Step

To solve the equation for the solution, we need to solve for the value of x and to do that we need to get the function in terms of x so:
4x - 5 = 2x + 13. --> subtract 2x from both sides
4x-2x-5 = 2x-2x+13
2x-5 = 13 --> add 5 to both sides
2x-5+5 = 13+5
2x = 18 --> divide both sides by 2
x=9
Therefore the answer is H which is 9.