Answer: x = 3/2
Step-by-step explanation:
Equation: [tex](x-2) (x-3) +2(x-1) (x-3)=3(x-1) (x-2)[/tex]
Multiply:
[tex]3x^2 - 13x + 12 = 3x^2 - 9x + 6[/tex]
Combine like terms:
[tex]-4x = -6[/tex]
Divide by -4 :
[tex]x=3/2[/tex]
Decimal form: [tex]x = 1.5[/tex]
Hope this helps!!!
Answer:
x=1.5
Step-by-step explanation:
(x−2)(x−3)+2(x−1)(x−3)=3(x−1)(x−2)
x²-3x-2x+6+(2x-2)(x-3)=(3x-3(x-2)
x²-3x-2x+6+2x²-6x-2x+6=3x²-6x-3x+6
3x²-13x+12=3x²-9x+6
subtract 3x^2on both sides
-13x+12=9x+6
subtract 6 on both sides
-13x+6= -9x
Add 13x on both sides
6=4x
Divide both sides by 4
1.5 =x
