Question

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

Answer 1

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

Explanation:

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`.