# How do you solve -x/7 + 4 ≥ 3x?

Aug 26, 2015

$x \le 7$

#### Explanation:

Given $- \frac{x}{7} + 4 \ge 3 x$

Simplify by multiplying everything by 7 (we don't like fractions)
$- x + 28 \ge 3 x$

Add $x$ to both sides
$28 \ge 4$

Divide both sides by $4$
$7 \ge x$

Write the expression the other way around ('cause that's how most people like it)
$x \le 7$