# What is the solution to 3(x-5)>=12?

Nov 27, 2016

$x \ge 9$

#### Explanation:

The first step is to expand the terms in parenthesis:

$3 x - 15 \ge 12$

Then solve for $x$ while keeping the inequality balanced:

$3 x - 15 + 15 \ge 12 + 15$

$3 x \ge 27$

$\frac{3 x}{3} \ge \frac{27}{3}$

$x \ge 9$