3: (x-5)(x-4)-(x-1)(x-2)=7
=>x^2-9x+20-x^2+3x-2=7
=>-6x+18=7
=>-6x=-11
=>x=11/6
4: =>5x^2-15x=5x^2-x-10x+2-5
=>-15x=-11x-3
=>-4x=-3
=>x=3/4
5: =>6(x^2-7x+12)-6x^2+12x=4
=>6x^2-42x+72-6x^2+12x=4
=>-30x=-68
=>x=34/15
6: =>(x-1)(x-5-x+1)=0
=>x-1=0
=>x=1
7: =>x^2-x-12-x^2+1=10
=>-x-11=10
=>-x=21
=>x=-21