To simplify the left side of the equation:

4(5x - 3) - 5(3x + 7)
= 20x - 12 - 15x - 35
= 5x - 47

Therefore, the equation becomes:

5x - 47 = 6x - 23

To solve for x, we can subtract 5x from both sides:

-47 = x - 23

Add 23 to both sides to isolate x:

-24 = x