# How do you solve -2( - 2+ 5m ) < 64?

Feb 28, 2017

$m < - 6$

#### Explanation:

color(blue)(-2(-2+5m)<64

This an inequality equation.We need to isolate $m$ by balancing the equation in simpler forms

Divide both sides by color(red)(-2

$\rightarrow \frac{\cancel{- 2} \left(- 2 + 5 m\right)}{\cancel{\textcolor{red}{- 2}}} < \frac{64}{\textcolor{red}{- 2}}$

$\rightarrow - 2 + 5 m < - 32$

Add color(red)(2 both sides

rarr-2+5mcolor(red)(+2)<-32color(red)(+2

$\rightarrow 5 m < - 30$

Divide both sides by color(red)(5

rarr(cancel5m)/cancel(color(red)(5))<-30/(color(red)(5)

color(green)(rArrm<-6