[tex]a)\\\\6(x-4)-8=6x-24-8=6x-32\\\\b) \\\\2(x+1)-3(x-1)=2x+2-3x+3=-x+5\\\\c) \\\\-3(x-2)+4(x-2)=-3x+6+4x-8=x-2\\\\d) \\\\2(3x+y)-2(x-y)=6x+2y-2x+2y=4x+4y\\\\e) \\\\5x(x-3)-3x(x-5)=5x^2-15x-3x^2+15x=2x^2\\\\f)\\\\\frac{3x-6}3-5=\frac{3(x-2)}3-5=x-2-5=x-7\\\\g)\\\\\frac{3x-9b}3-\frac{2a-4b}2=\frac{3(x-3b)}3-\frac{2(x-2b)}2=x-3b-(x-2b)=x-3b-x+2b=-b\\\\h)\\\\\frac{2x+6}2-\frac{6x-9}3=\frac{2(x+3)}2-\frac{3(2x-3)}3=x+3-(2x-3)=x+3-2x+3=-x+6\\\\[/tex]
[tex]i)\\\\\frac{4(x-7)}2+\frac{9(x-1)}3=2(x-7)+3(x-1)=2x-14+3x-3=5x-17[/tex]
