<PRE><B>Question 1121927</B>
&lt;br&gt;
Use the idea that
{{{abs(x-a)=b}}}
means b is the distance between x and a.&lt;br&gt;
In your example, the values x=-10 and x=-5 are each a distance of 2.5 from x = -7.5.  So the absolute value equation you want is the one that says the distance between x and -7.5 is 2.5.&lt;br&gt;
Use the pattern to insert the numbers in your example.&lt;br&gt;
If you don&#39;t quite understand yet, here is another example.&lt;br&gt;
Suppose we want the two solutions to be -10 and 34.&lt;br&gt;
The point midway between -10 and 34 is ((-10+34)/2) = 12; the distance between 12 and either -10 or 34 is 22.&lt;br&gt;
So the absolute value equation has to say that the distance between x and 12 is 22.  Plugging those numbers into the pattern gives us the answer:&lt;br&gt;
{{{abs(x-12)=22}}}</PRE>