Answer
The solution set is $(5, \infty)$ .
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).
Multiplying/dividing with a negative number inverts the order (the inequality symbol changes).
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$ 8x+3 \gt 3(2x+1)+x+5\qquad $ ... distribute, simplify
$8x+3 \gt 6x+3+x+5$
$ 8x+3 \gt 7x+8\qquad $ ... $/-3-7x $
$8x-7x \gt >8-3$
$ x \gt 5$
The solution set is $(5, \infty)$ .
