Answer
$(2, 6)$
Refer to the attached image below for the graph.
Work Step by Step
Add 5 to each part to have:
$\\-1+5 \lt 2x-5+5 \lt 7+5
\\4 \lt 2x \lt 12$
Divide 2 to each part to have:
$\\2 \lt x \lt 6$
Thus, the solution is $(2, 6)$.