How do you solve $|(3x + 4 )/ 6| = |-4|$ ?

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Answer 1 · 2017-04-24T02:14:15

$"For"$ $|(3x+4)/6|=|-4|$

$x=20/3,-28/3$

For absolute value you are going to solve for positive and negative.
Like this.

$|(3x+4)/6|=|-4|$

So we are solving

$|(3x+4)/6|=4$ $color(red)"AND"$ $|(3x+4)/6|=-4$

$color(red)(|(3x+4)/6|=4)$

Multiply both sides by six to remove denominator
$(3x+4)/cancel6=4*6$

$3x+4=24$

Subtract 4 from both sides
$3xcancel(+4)=24-4$
$3x=20$

Divide by 3 so that we have "x" alone
$(cancel3x)/cancel3=20/3$

$x=20/3$

Now, $color(red)(|(3x+4)/6|=-4)$

This is the same process so I'll go through it a little quicker.

$|(3x+4)/cancel6|=-4*6$

$3x+4=-24$

$3xcancel(+4)=-24-4$

$3x=-28$

$x=-28/3$

How do you solve |(3x + 4 )/ 6| = |-4||(3x + 4 )/ 6| = |-4|?