[tex]5x - (x - 2) \geq 2x - 4(x - 8)\\5x - x + 2 \geq 2x - 4x + 32\\5x - x - 2x + 4x \geq 32 - 2\\6x \geq 30\\x \geq 5\\[/tex]
Interval notation: [tex]x \in \lbrack 5, \infty \rangle[/tex]
