** Final Answer

**

## Step-by-step Solution

Problem to solve:

** Specify the solving method

**

**

Multiply the single term $-\frac{1}{2}$ by each term of the polynomial $\left(4x-1\right)$

**

**

Combining like terms $\frac{2}{3}x$ and $-2x$

Learn how to solve one-variable linear inequalities problems step by step online.

$\frac{2}{3}x-2x+\frac{1}{2}\geq x+2\left(x-3\right)$

Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality 2/3x-1/2(4x-1)>=x+2(x-3). Multiply the single term -\frac{1}{2} by each term of the polynomial \left(4x-1\right). Combining like terms \frac{2}{3}x and -2x. Multiply the single term 2 by each term of the polynomial \left(x-3\right). Combining like terms x and 2x.

** Final Answer

**