Consider the equation 4x-2=-2 (ax+3), with constant a. Which of the following statements is true about the solution to the equation?

There is no value of a for which the equation will have no solution.

If a=2, then there is no solution.

If a=0, then there is no solution.

If a=-2, then there is no solution.

If a = - 2, then there is no solution.

Step-by-step explanation:

4x-2=-2 (ax+3)

2) a=0 one solution

4x - 2 = - 2 (0x + 3)

4x - 2 = - 6

4x = - 4

x = - 1

1) a = 2 one solution

4x-2=-2 (2x+3)

4x - 2 = - 4x - 6

8x = - 4

x = - 1/2

3) a = - 2 no solution

4x-2=-2 (-2x+3)

4x - 2 = 4x - 6

4x-4x = - 6+2

0 = - 4, wrong, so no solution