Question 160501
solve this equation |x+4| = |2x-7| I have to make a system and solve it but don't know which I can change I need the answer asap please
<pre><font size = 4 color = "indigo"><b>
|x+4| = |2x-7|

Make two equations without absolute value bars:

1.  For the first equation, you just replace the
    absolute bars by parentheses: 

    {{{(x+4) = (2x-7)}}}
    {{{x+4=2x-7}}}
    {{{-x=-11}}}
    {{{x=11}}}

2.  For the second equation, you just replace the
    absolute bars by parentheses, but you put a negative
    sign in front of one of the parentheses, it doesn't
    matter which, as you'll get the same answer: 

    {{{(x+4) = -(2x-7)}}}
    {{{x+4=-2x+7}}}
    {{{3x=3}}}
    {{{x=1}}}  
     
So the two solutions are 11 and 1.

Edwin</pre>