Answer:
No solution
Infinitely many solutions
One solution
Explanation:
The first expression:
-2(3x - 1) = -6x -1
Expand the parentheses;
-6x + 2 = -6x -1
-6x + (-6x) = -1 -2
0 = -3
This problem has no solutions
Second expression:
2(3x-1) = 6x -2
Expand the parentheses;
6x - 2 = 6x -2
6x -6x = -2 + 2
0 = 0
This problem has infinitely many solutions
Third expression:
2(3x - 1) = -6x -2
Expand the parentheses;
6x -2 = -6x - 2
6x + 6x = -2 + 2
12x = 0
x = 0
This equation has only one solution