Hi there!
The Eqn. is :-
1.5 (x + 4) - 3 = 4.5 (x - 2)
1.5x + 6 - 3 = 4.5x - 9
Combining the like terms :-
1.5x - 4.5x = - 9 - 6 + 3
- 3x = - 15 + 3
- 3x = - 12
x = \dfrac {- 12}{- 3}
x = 4
Hence, the required answer is → x = 4
~ Hope it helps!