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4\left(2x-1\right)-72x>3
Multiply both sides of the equation by 24, the least common multiple of 6,8. Since 24 is positive, the inequality direction remains the same.
8x-4-72x>3
Use the distributive property to multiply 4 by 2x-1.
-64x-4>3
Combine 8x and -72x to get -64x.
-64x>3+4
Add 4 to both sides.
-64x>7
Add 3 and 4 to get 7.
x<-\frac{7}{64}
Divide both sides by -64. Since -64 is negative, the inequality direction is changed.