Answer
no solution
Work Step by Step
Using the properties of equality, the given equation, $ -|4-8b|=12 ,$ is equivalent to
\begin{array}{l}\require{cancel} (-1)\left(-|4-8b|\right)=(12)(-1) \\ |4-8b|=-12 .\end{array}
The left side of the expression above always results to a nonnegative number for any value of $x.$
This is because the absolute value of a number is either $0$ or some positive value.
This value will never be equal to the negative value at the right.
Hence, there are no values of $x$ that will satisfy the equation above.
Therefore, there is no solution.
