How do you solve 12|x/4+11|= 60?

1 Answer
Jul 25, 2016

x = - 24 , x = - 64

Explanation:

There are 2 parts to solve here.

First divide both sides by 12

$\frac{{\cancel{12}}^{1} | \frac{x}{4} + 11 |}{\cancel{12}} ^ 1 = \frac{60}{12} = 5$

(1) solve $\frac{x}{4} + 11 = 5 \Rightarrow \frac{x}{4} = - 6$

multiply both sides by 4

${\cancel{4}}^{1} \times \frac{x}{\cancel{4}} ^ 1 = - 6 \times 4 \Rightarrow x = - 24$

and (2) solve $\frac{x}{4} + 11 = - 5 \text{ and proceed as before}$

$\Rightarrow \frac{x}{4} = - 16 \Rightarrow x = - 64$

Thus solutions are x = -24 and x = -64