Solve for x the inequality:4(6x-1)+4x>24?

We'll divide by 4 both
sides:

6x - 1 + x >
6

We'll subtract 6 both
sides:

6x - 1 - 6 + x >
0

We'll combine like terms:

7x
- 7 > 0

We'll factorize by
7:

7(x-1)>0

We'll
divide by
7:

x-1>0

x>1

The
range of possible values for x, for the inequality to hold, is:(1,
+infinite).