`a) 3x-2=2x-3`
`3x-2x=-3+2`
`<=> x=-1`
`b) 2x+3=5x-9`
`<=>2x-5x=9-3`
`<=> -3x=6`
`<=>x=-2`
`c) 5-2x =7`
`<=> -2x=2`
`<=> x=-1`
`d) 10x +3-5x = 4x +12`
`<=> 10x-5x-4x=12-3`
`<=> x = 9`
`e) 11x + 42 -2x =100 -9x-22`
`<=> 11x-2x+9x=100-22-42`
`<=> 18x=36`
`<=> x=2`
`f)2x - (3-5x) = 4(x+3)`
`<=> 2x-3+5x=4x+12`
`<=> 2x+5x-4x=12+3`
`<=> 3x=15`
`<=> x=5`
`g) x(x+2) = x(x+3)`
`<=> x^2+2x=x^2+3x`
`<=> x^2+2x-x^2-3x=0`
`<=> x=0`
`h) 2(x-3)+5x(x-1)=5x^2`
`<=> 2x-6+5x^2-5x=5x^2`
`<=> 2x+5x^2-5x-5x^2=6`
`<=> -3x=6`
`<=> x=-2`