| x | < 2 x + 3 − ( 2 x + 3 ) < x < 2 x + 3 − 2 x − 3 < x 3 < 3 x x > 1 x < 2 x + 3 − x < 3 x > − 3 x > 1 {\displaystyle {\begin{aligned}&|x|<2x+3\\&-(2x+3)<x<2x+3\\&\color {blue}-2x-3<x\\&\color {blue}3<3x\\&\color {blue}x>1\\&\color {red}x<2x+3\\&\color {red}-x<3\\&\color {red}x>-3\\&\color {Violet}x>1\\\end{aligned}}}
