SOLUTION: |2x-5|=9 ________ 5 how do I do this

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Question 1023998: |2x-5|=9
________
5
how do I do this
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
abs(2x-5)/5=9

abs%282x-5%29%2F5=9

Solve first for the absolute value.
%285%2F1%29%28abs%282x-5%29%2F5%29=%285%2F1%29%2A9

abs%282x-5%29=45

Review the definition of absolute value on your own, paying attention to both the described meaning AND the graphical meaning on a number line.

Your equation now has two conditions to solve for.

EITHER 2x-5=45 OR -%282x-5%29=45.
The first one is for the condition of 2x-5 being non-negative; and the second one is for the condtion of 2x-5 being negative.

First one,
2x=45%2B5
2x=50
x=25

Second one,
-2x%2B5=45
-2x=45-5
-2x=40
x=-20

ANSWER: x is 25 or -20.