# How do you solve 3x<=2x-3?

May 4, 2017

See a solution process below:

#### Explanation:

Subtract $\textcolor{red}{2 x}$ from each side of the inequality to solve for $x$ while keeping the inequality balanced:

$3 x - \textcolor{red}{2 x} \le 2 x - \textcolor{red}{2 x} - 3$

$\left(3 - \textcolor{red}{2}\right) x \le 0 - 3$

$1 x \le - 3$

$x \le - 3$