we have
[tex]1.5(x+4)-3=4.5(x-2)[/tex]
Applying distributive property both sides
[tex]1.5x+1.5*4-3=4.5x-4.5*2[/tex]
[tex]1.5x+6-3=4.5x-9[/tex]
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]4.5x-1.5x=6-3+9[/tex]
[tex]3x=12[/tex]
Divide by [tex]3[/tex] both sides
[tex]x=4[/tex]
therefore
the answer is
[tex]x=4[/tex]
