Answer
$2\lt x\lt10$.
Work Step by Step
The inequalities according to the exercise are:
$10+2x\gt3x\\10\gt x$ and $10+3x\gt2x\\10\gt-x\\-10\lt x$ and $2x+3x\gt10\\5x\gt10\\x\gt2$
Thus $2\lt x\lt10$.
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