2(x+3)+3x > 7(x+4)

2x + 6 + 3x > 7x + 28

5x + 6 > 7x + 28

Subtract 5x from both sides:

6 > 2x + 28

Subtract 28 from both sides:

-22 > 2x

Divide by 2:

-11 > x

Решението на неравенството е x < -11.