Answer:
E has 0 solutions, as it creates a contradiction.
Explanation:
A:
3x+6=2x+4
-2x = -2x
x+6=4
-6 = -6
x=-2
This has 1 solution.
B:
2(x+3)=2x+6
2x+6=2x+6
-2x = -2x
6=6
-6 = -6
0=0
This has infinite solutions, since it is an identity.
C:
3x-4=5-x
+1x = +1x
4x-4=5
+4 = +4
4x=1
/4 = /4
x=1/4
This has one solution.
D:
3x+6=2x+6
-2x = -2x
x+6=6
-6 = -6
x=0
This has one solution.
E:
2x+4=2x+6
-2x = -2x
4=6
This has zero solutions, as it creates a contradiction.
Hope this helps!