Answer
The statement is false. To make it true, replace "is equivalent to" with "is not equivalent to".
Work Step by Step
Equations are equivalent if they have equal solution sets.
The equation $(2x-3)^{2}=25$ has two solutions
$\begin{array}{l}
2x-3=\pm 5\\
2x=3\pm 5\\
x=\dfrac{3\pm 5}{2}
\end{array}$, (solution set: $\{ -1, 4\}$ )
While the other equation has only one, $2x-3=5$
$2x=8$
$ x=4$
(solution set: $\{ 4\}$ )
The statement is false.
To make it true, replace "is equivalent to" with "is not equivalent to".
