# How do you solve -2x + 16\leq 35- 16?

Nov 19, 2016

$x \ge - \frac{3}{2}$

#### Explanation:

Perform the necessary mathematics to isolate and solve for $x$ while keeping the inequality balanced.

First, subtract 16 from each side of the inequality:

$- 2 x + 16 - 16 \le 35 - 16 - 16$

$- 2 x + 0 \le 35 - 32$

$- 2 x \le 3$

Next divide each side by $- 2$. Because we are multiplying or dividing by a negative number the inequality needs to be reversed:

$\frac{- 2 x}{-} 2 \ge \frac{3}{- 2}$

$1 x \ge - \frac{3}{2}$

$x \ge - \frac{3}{2}$