Let's simplify the equation step by step:

13(2+х) - 17 = 12х - 7(х+4)

First, distribute the 13 on the left side and the 7 on the right side:

26 + 13х - 17 = 12х - 7х - 28

Combine like terms on both sides:

26 + 13х - 17 = 12х - 7х - 28
26 - 17 + 13х = 12х - 7х - 28
9 + 13х = 5х - 28

Now, isolate the variable x by moving all terms with x to one side:

13x = 5x - 28 - 9
13x - 5x = - 28 - 9
8x = - 37

Finally, solve for x:

x = - 37 / 8

Therefore, the solution to the equation is x = -37/8.