Given the following expression:
[tex]1.5(x+4)-3=4.5(x-2)[/tex]we can use the distributive property on the parenthesis to get the following:
[tex]\begin{gathered} 1.5(x+4)-3=4.5(x-2) \\ \Rightarrow1.5x+1.5(4)-3=4.5x-4.5(2) \end{gathered}[/tex]then, we can solve for 'x':
[tex]\begin{gathered} 1.5x+1.5(4)-3=4.5x-4.5(2) \\ \Rightarrow1.5x+6-3=4.5x-9 \\ \Rightarrow9+6-3=4.5x-1.5x \\ \Rightarrow15-3=3x \\ \Rightarrow12=3x \\ \Rightarrow x=\frac{12}{3}=4 \\ x=4 \end{gathered}[/tex]therefore x = 4
