Answer:
[tex]\large\boxed{[0.5;\ \infty)}[/tex]
Step-by-step explanation:
[tex]2(4x-3)\geq-3(3x)+5x\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-3)\geq-9x+5x\\\\8x-6\geq-4x\qquad\text{add 6 to both sides}\\\\8x\geq-4x+6\qquad\text{add}\ 4x\ \text{to both sides}\\\\12x\geq6\qquad\text{divide both sides by 12}\\\\x\geq\dfrac{6}{12}\\\\x\geq\dfrac{1}{2}\to x\in\left[\dfrac{1}{2};\ \infty\right)[/tex]
