# How do you solve -5x \geq 7( x + 7) - 13?

Jul 16, 2017

Treat the larger than or equal sign as an equals sign.

#### Explanation:

$- 5 x = 7 \left(x + 7\right) - 13$

Expand the bracket

$- 5 x = 7 x + 49 - 13$

Simplify

$- 5 x = 7 x + 36$

Minus the $36$ and add the $5 x$, you want the $x$ to be positive

$- 36 = 12 x$

Divide by $12$ on both sides

$- 3 = x$

Replace equals with larger than or equals sign

$- 3 \ge x$