How many solutions does −6(x+7)=−4x−2 have?

1 solution: x = -20

Solve for x.
-6(x + 7) = -4x - 2             Distributive Property
-6x - 42 = -4x - 2             Add 4x to both sides
-2x - 42 = -2                    Add 42 to both sides
-2x = 40                           Divide by -2 to both sides
x = -20                             Answer!

Remember:
1. If it ends in a true statement such as 6 = 6, then x can be all real numbers.
2. If it ends in a false statement such as 7 = 6, then there is no solution. 

The answer is that there is no solution.