What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?

For this case we must find the value of the variable "x" of the following expression:[tex]2 (3x-1) \geq4x-6[/tex]We apply distributive property to the terms within parentheses: [tex]6x-2 \geq4x-6[/tex]We subtract 4x on both sides:[tex]6x-4x-2 \geq-6\\2x-2 \geq-6[/tex]We add 2 to both sides:[tex]2x \geq-6 + 2\\2x \geq-4[/tex]We divide between 2 on both sides:[tex]x \geq \frac {-4} {2}\\x \geq-2[/tex]Answer:[tex]x \geq-2[/tex]