Question

6 - 2|3x + 2| = -12

Answer 1

@thebro55

Answer 2

try this one

Answer 3

Whenever we deal with a absolute value in an equality, we have to apply the definition, and solve two equations independantly.
Absolute value is defined:
\[1) \left| a \right|= a <=> a>0\]
\[2)\left| a \right|=-a <=> a<0\]
it only means, that the absolute value can vary, depending on the values we take for the set of variables.
so taking the problem:
\[6-2\left| 3x+2 \right|=-12\]
we will look at the definition applied to the absolute value:
\[1)\left| 3x+2 \right|=(3x+2)<=> (3x+2)\ge0\]
\[2)\left| 3x+2 \right|=-(3x+2)<=> (3x+2)<0\]

So let's solve them both ways:
\[1) 6-2(3x+2)=-12\]
\[2) 6-2(-(3x+2))=-12\]

Answer 4

you have such detailed answers you must be really smart