Answer
No solution.
Work Step by Step
$|2x+3|+4\leq-10\\|2x+3|\leq-14$
But $|2x+3|\geq0$, so there is no solution.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.