How do you solve $abs(2x - 3) = 6$ ?

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Answer 1 · 2018-03-22T17:52:26

$x=4.5$ and $x=-1.5$

By definition of absolute value, whatever is inside can be $6$ or $-6$ .

This gives us two equations:
$2x-3=6$
$2x-3=-6$

Solving the first equation,
$2x-3=6$
$2x=9$
$x=4.5$

Solving the second equation,
$2x-3=-6$
$2x=-3$
$x=-1.5$

So the two values of x are 4.5 and -1.5

How do you solve abs(2x - 3) = 6abs(2x - 3) = 6?