For this case we have the following inequality:
[tex]2 (x-4) <5x + 4[/tex]
We apply distributive property on the left side of inequality:
[tex]2x-8 <5x + 4[/tex]
We subtract 5x on both sides of the inequality:
[tex]2x-5x-8 <4\\-3x-8 <4[/tex]
We add 8 to both of the inequality:
[tex]-3x <4 + 8\\-3x <12[/tex]
We divide between 3 on both sides of the inequality:
[tex]-x <\frac {12} {3}\\-x <4[/tex]
We multiply by -1 on both sides taking into account that the sense of inequality changes.
[tex]x> -4[/tex]
Answer:
[tex]x> -4[/tex]