Which equation has no solution A.) 4 (x+3) + 2x=6 (x+2) B.) 5+2 (3+2x) = x+3 (x+1) C.) 5 (x+3) + x=4 (x+3) + 3 D.) 4+6 (2+x) = 2 (3x+8)

B

Step-by-step explanation:

I could explain this to you by using process of elimination but I think it would be easier to explain to you straight forward why answer choice B has no possible answers. First I did the equation out on a piece of paper:

5 + 2 (3 + 2x) = x + 3 (x + 1)

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

Now we have 4x + 3 = 4x + 11. It is impossible for 4x to be added to two entirely different numbers and still produce the same outcome, so that is why B is the correct answer choice.

B. 5+2 (3+2x) = x+3 (x+1)

Step-by-step explanation:

Expand the brackets.

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

Add - 4x and - 11 on both sides.

4x - 4x = 3 - 11

0 = - 8

There are no solutions.