To solve the equation:

2(5x-3) + 4(x+5) - 3(2x-3) = 0
Expand each term:

10x - 6 + 4x + 20 - 6x + 9 = 0
Combine like terms:

8x + 23 = 0
8x = -23
x = -23/8

To simplify the equation with fractions:

(x+6)/8 - (x+2)/12 = (x-6)/4
Multiply each term by 24 to eliminate fractions:

3(x+6) - 2(x+2) = 6(x-6)
3x + 18 - 2x - 4 = 6x - 36
Simplify:

x + 14 = 6x - 36
Subtract x from both sides:

14 = 5x - 36
Add 36 to both sides:

50 = 5x
Divide by 5:

x = 10

Therefore, the solution to the equation is x = 10.