Answer:
[tex]5x + \frac{1}{3} (3x + 6) > 14 \\ lcm = 3 \\ \\ (3 \times 5x) + 3 \times \frac{1}{3} (3x + 6) > 14 \times 3 \\ \\ 15x + 3x + 6 > 42 \\ 18x + 6 > 42 \\ 18x > 42 - 6 \\ 18x > 36 \\ x > 2[/tex]
Answer is below
x > 2
How I did it
What I first did was divide 3x + 6 by 3 because when you multiply by 1/3 it's basically just dividing by 3.
5x+x+2>14
Simplify
6x+2>14
Subtract 2 on both sides
6x>12
Since you want to get x by itself you divide both sides by 6, singling out x
x>2
Hope this helps!