Let's simplify the equation step by step:

3(2x-3)=7(3x-21)+4(3x-1)-4(x+5)+1
6x - 9 = 21x - 147 + 12x - 4 - 4x - 20 + 1
6x - 9 = 21x - 147 + 12x - 4x - 4 - 20 + 1
6x - 9 = 29x - 170

Now, let's combine like terms:

6x - 9 = 29x - 170
-23x = -161

Now, let's solve for x:

x = 161/23
x = 7

Therefore, the solution to the equation is x = 7.