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

Answer: 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.