Solve the absolute value equation, if possible. If there is no solution, explain why. |5x+13|=-7

Step-by-step explanation:

There is nothing you could put into the brackets that will give you a negative answer. We should just graph this to see if that is true or not. Graphs are the last word in this kind of question.

See below.

The graph is the first part: y = |5x + 7|

It is the red graph.

The second line of interest is y = - 7. It is blue.

Do you see that these two graphs do not intersect?

Because they don't, there is no solution. Any marker will accept this explanation and the graph. You should be fine with just this much.