# How do you solve 3x+2<=5(x-4)?

Dec 10, 2016

$x \ge 22$

#### Explanation:

First, expand the terms within parenthesis:

$3 x + 2 \le 5 x - 20$

Now, isolate the $x$ terms on one side of the inequality and the constants on the other while keeping the inequality balanced:

$3 x - 3 x + 2 + 20 \le 5 x - 3 x - 20 + 20$

$0 + 2 + 20 \ge 5 x - 3 x - 0$

$22 \le 2 x$

$\frac{22}{2} \le \frac{2 x}{2}$

$11 \le x$

Now to state in terms of $x$ we need to reverse or "flip" the inequality:

$x \ge 22$