Answer
$\color{blue}{(-\infty, +\infty)}$
Work Step by Step
Subtract each term of the binomial to obtain:
$6x-2x-3 \ge 4x-5
\\4x-3 \ge 4x-5$
Add $3$ and subtract $-4x$ to both sides, then combine like terms to obtain:
$4x-3+3-4x\ge 4x-5+3-4x
\\0\ge -2$
The resulting statement above is true, which means that any real numbers is a solution.
Thus , the solution set is:
$\color{blue}{(-\infty, +\infty)}$
