How do you solve $| 2 x - 3 | = | x + 2 |$ $|2x - 3| = |x + 2|$ ?

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Answer 1 · 2016-05-24T15:39:56

$x = - 5 and x = + 5$ $x= -5" and "x=+5$

Write as: $2 x - 3 = x + 2$ $2x-3=x+2$

$\Rightarrow 2 x - x = 2 + 3$ $=> 2x-x=2+3$

#=> x=5

So $| x | = | 5 | or just | x | = 5$ $|x|=|5| " or just "|x|=5$

Thus the solution is $x = - 5 and x = + 5$ $x= -5" and "x=+5$

How do you solve |2x - 3| = |x + 2||2x−3|=|x+2||2x - 3| = |x + 2|?