2x²-2=2(x²-1)=2(x-1)(x+1)
3x²+6x+3=3(x²+2x+1)=3(x+1)²
12x²-24x+12=12(x²-2x+1)=12(x-1)²
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3(x-1)/2(x-1)(x+1) -2(x+1)/3(x-1)²=5(x-1)/12(x-1)²
3/2(x+1)-2/3(x+1)=5/12(x-1)
Общий знаменатель 12(x-1)(x+1)≠0⇒x≠1,x≠-1
3*(6x-6)-2*(4x-4)=5*(x+1)
18x-18-8x+8-5x-5=0
5x=15
x=15:5
x=3