Answer
no real solution
Work Step by Step
The left side of the given equation, $ |2x-3|=-1,$ is a nonnegative number for any real value of $x.$
This is because taking the absolute value of a number will either result to $0$ or some positive value.
This value at the left will never be equal to the negative value at the right.
Hence, there is no real value of $x$ that satisfies the original equation. Therefore, there is no real solution.
