Solve the absolute value equation for x. |x−23|=|6−x|

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Solve the absolute value equation for x.  |x−23|=|6−x|

Elaine Verrett · Accepted Answer

Step 1  Given equation is  |x−23|=|6−x|  Squaring both sides , we get  (x−23)2=(6−x)2  x2−43x+49=36+x2−12x  12x−43x+49−36=0  108x-12x+4-324=0  96x-320=0  x=32096=103  Step 2  Ans:  Solution of given equation is x=10/3

Solve the absolute value equation for x. |x−23|=|6−x|

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