How do you solve $4|3x + 4| = 4x + 8$ ?

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Answer 1 · 2016-08-23T14:43:07

$x=-1 and -3/2$ .

For $x>=-4/3, 3x+4 >=0$ , and so, $|3x+4|=3x+4$ .

Substituting and solving

$x = -1 > -4/3$ ..

For $x<=-4/3, 3x+4 <=0$ , and so, $|3x+4|=-(3x+4)$ .

Substituting and solving

$x = -3/2<-4/3$ .

How do you solve 4|3x + 4| = 4x + 84|3x + 4| = 4x + 8?