Question

solve the given linear equation: (x-2) (x-3) +2(x-1) (x-3)= 3(x-1) (x-2) ​

Answer 1

Step-by-step explanation:

(x-2)(x-3) + 2(x-1)(x-3) = 3(x-1)(x-2)

(x²-3x-2x+6) + 2(x²-3x-1x+3) = 3(x²-2x-1x+2)

(x²-3x-2x+6) + 2x²-6x-2x+6 = 3x²-6x-3x+6

(x²-5x+6) + 2x²-8x+6 = 3x²-9x+6

3x²-13x+12 = 3x²-9x+6

3x²-13x-3x²+9x = 6-12

-4x = -6

x = (-6)/(-4)

x = 3/2