Answer:
[tex]x=1.5[/tex]
Step-by-step explanation:
Simplify
[tex](x-2)(x-3)+2(x-1)(x-3)=3(x-1)(x-2)[/tex]
[tex]x^2-3x-2x+6+(2x-2)(x-3)=(3x-3)(x-2)[/tex]
[tex]x^2-3x-2x+6+2x^2-6x-2x+6=3x^2-6x-3x+6[/tex]
[tex]3x^2-13x+12=3x^2-9x+6[/tex]
Subtract 3x^2 on both sides
[tex]-13x+12=-9x+6[/tex]
Subtract 6 on both sides
[tex]-13x+6=-9x[/tex]
Add 13x on both sides
[tex]6=4x[/tex]
Divide both sides by 4
[tex]1.5=x[/tex]
I hope this helps
