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

There is no solution. I know this because the answer to an absolute value expression cannot be a negative.

Let´s explain. The absolute value means how far the number is from 0. You can´t be -5 units away from 0, right? This is why the answer to an absolute value expression cannot be negative.

Since the whole left side of the equation is surrounded by absolute value bars, it should be equal to a positive number. But it's not. So, there is no solution.