Answer
$\dfrac{a-c}{b} \le x \lt \dfrac{2a-c}{b}$
Work Step by Step
With a, b, and c positive constants, dividing and/or multiplying any if them to both sides of the inequality will not affect the inequality symbol
Subtract $c$ to both sides to have:
$a-c\le bx \lt 2a-c$
Divide $b$ to both sides to have:
$\dfrac{a-c}{b} \le x \lt \dfrac{2a-c}{b}$
