document.write( "Question 355888: If the absolute value of x-a is equal to the absolute value of x-b then what is x equal to?
\n" ); document.write( "I think x is equal to -a+b over 2, I'm not sure though & need help. \n" ); document.write( "

Algebra.Com's Answer #254106 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"abs%28x-a%29=abs%28x-b%29\"$
\n" ); document.write( " $\"x-a=x-b\"$ and $\"-%28x-a%29=x-b\"$
\n" ); document.write( " $\"-a=-b\"$ and $\"-x%2Ba=x-b\"$
\n" ); document.write( " $\"-a=-b\"$ and $\"-2x=-a-b\"$
\n" ); document.write( " $\"-a=-b\"$ and $\"x=%28a%2Bb%29%2F2\"$
\n" ); document.write( "From the first expression, there is no solution.
\n" ); document.write( "From the second expression,
\n" ); document.write( " $\"highlight%28x=%28a%2Bb%29%2F2%29\"$ is the intersection point.
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\n" ); document.write( "As an example,
\n" ); document.write( " $\"abs%28x-2%29=abs%28x-8%29\"$
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\n" ); document.write( "Should have an intersection point (solution) at $\"x=%282%2B8%29%2F2=5\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=abs%285-2%29=abs%285-8%29=3\"$
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