Hello!
You can solve this algebraically
4(x - 3) + 4 < 10 + 6x
Distribute the 4
4x - 12 + 4 < 10 + 6x
Combine like terms
4x - 8 < 10 + 6x
Subtract 4x from both sides
-8 < 10 + 2x
Subtract 10 from both sides
-18 < 2x
Divide both sides by 2
-9 < x
The answer is x > -9
Hope this helps!