encontre o valor dex

[tex]\sf 2x-7\ge \:3x+9\\\\\\\sf 2x-7+7\ge \:3x+9+7\\\\\\\sf 2x\ge \:3x+16\\\\\\\sf 2x-3x\ge \:3x+16-3x\\\\\\\sf -x\ge \:16[/tex]
[tex]\sf \left(-x\right)\left(-1\right)\le \:16\left(-1\right)\\\\\\\\\large \boxed{\sf x\le \:-16}[/tex]