Question

what is the solution of |2x-1|=5?

Answer 1

Turn it into 2 separate equations and solve each one separately.
2x - 1 = 5 and 2x - 1 = -5

Answer 2

\(\bf
|2x-1|=5\implies
\begin{cases}
+(2x-1)=5\\ \quad \\
\bf -(2x-1)=5
\end{cases}\)

Answer 3

Anytime you have an absolute value like that isolated on one side of the equation, you can turn it into 2 equations like that.. one is positive on the other side , and the other is negative on the other side.