#### Answer

$\color{blue}{(-\infty, 4)}$

#### Work Step by Step

Distribute $2$ to obtain:
$8x-3x+2 \lt 2(x)+2(7)
\\5x+2 \lt 2x+14$
Subtract $2x$ and $2$ to both sides, then combine like terms to obtain:
$5x+2-2-2x\lt 2x+14-2-2x
\\3x \lt 12$
Divide $4$ to both sides of thee equation to obtain:
$\dfrac{3x}{3} \lt \dfrac{12}{3}
\\x \lt 4$
Thus , the solution set is:
$\color{blue}{(-\infty, 4)}$