Answer:
2.5 < x or 5/2 < x
Explanation:
Start by distributing the -2 to the parenthesized numbers.
-2*x and -2*-3
You end up with -2x and 6 (negative times a negative gets positive).
-2x+6 < 2x-4
Next you need to get your variables, x, on one side. It can be either but I like addition so lets take the -2x and move it to the opposite side.
You'll need to add 2x to both sides since its a negative number.
-2x(+2x)+6 < 2x(+2x)-4
-2+2 is 0 and 2+2 is 4.
6 < 4x-4
You want to get the variable alone now so you'll want to add the 4 to the other side (because its negative you add. If it was positive you'd subtract).
6(+4) < 4x-4(+4)
6+4 is 10 and -4+4 is 0.
10 < 4x
You want to divide out the 4 from 4x because you want the variable alone. Divide 4 from both sides
10(/4) < 4x(/4)
Now depending on if you want a variable or a fraction 10/4 can be 5/2 (simplified fraction) or 2.5 (decimal). 4x/4 gives you x.
2.5 (or 5/2) < x
Hope that helps.