$\large\boxed{x<5\to x\in(-\infty,\ 5)}\\\\\underline{\underline{\qquad\qquad\qquad}}_o\underline{\qquad\qquad\qquad\qquad}_(>_x)\\.\qquad\qquad\qquad5$

Explanation:

$-7x+14>-3x-6\qquad\text{subtract 14 from both sides}\\\\-7x>-3x-20\qquad\text{add 3x to both sides}\\\\-4x>-20\qquad\text{change the signs}\\\\4x<20\qquad\text{divide both sides by 4}\\\\x<5$