Answer
$(2, 6)$
Work Step by Step
The idea is to isolate x on one side.
Adding, subtracting or multiplying/dividing with a positive number preserves order (the inequality symbol remains the same).
Multiplying/dividing with a negative number inverts the order (the inequality symbol changes).
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$ 7 \lt x+5 \lt 11 \qquad $ ... add $(-5)$ to all
$7-5 \lt x+5-5 \lt 11-5$
$2 \lt x \lt 6$
... both interval borders are excluded
The solution set is $(2, 6)$ .
